Research Team: Differential Equations and its Applications
PUBLICATIONS Abdellatif Ben Makhlouf
1. L. Mchiri, A. Ben Makhlouf, D. Baleanu, M. Rhaima, Finite-time stability of linear stochastic fractional-order systems with time delay. Advances in Difference Equations, 2021, No. 1 (2021), 1-10 .
2. F. Azouz, D. Boucenna, A. Ben Makhlouf, L. Mchiri, A. Benchaabane, Controllability of Differential Systems with the General Conformable Derivative. Complexity, 2021, (2021), 1-11 .
3. H. Arfaoui, A. Ben Makhlouf, Some results for a class of two-dimensional fractional
hyperbolic differential systems with time delay. Journal of Applied Mathematics and Computing, (2021), 1-17 .
4. D. Boucenna, D. Baleanu, A. Ben Makhlouf, A. M. Nagy, Analysis and numerical solution of the generalized proportional fractional Cauchy problem. Applied Numerical Mathematics, 167, (2021), 173-186 .
5. A. Ben Makhlouf, E. El-Hady, Novel stability results for Caputo fractional differential equations. Mathematical Problems in Engineering, 2021, (2021), 1-6 .
6. O. Naifar, A. Ben Makhlouf, Synchronization of mutual coupled fractional order one-sided lipschitz systems. Integration, 80, (2021), 41-45 .
7. A. Ben Makhlouf, L. Mchiri, M. Rhaima, Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods. Journal of Function Spaces, 2021, (2021), 1-7 .
8. M. A. Hammami, D. Boucenna, A. Ben Makhlouf, A. El‐hady, Ulam‐Hyers‐Rassias stability for generalized fractional differential equations. Mathematical Methods in the Applied Sciences, 44, No. 13 (2021), 10267-10280 .
9. O. Naifar, A. Ben Makhlouf, On the Stabilization and Observer Design of Polytopic Perturbed Linear Fractional-Order Systems. Mathematical Problems in Engineering, 2021 (2021), 1-6 . 10. A. Ben Makhlouf, M. Kharrat, M. A. Hammami, D. Baleanu, Henry–Gronwall type q‐fractional integral inequalities. Mathematical Methods in the Applied Sciences, 44, No. 2 (2021), 2033-2039 .
11. D. Boucenna, A. Boulfoul, A. Chidouh, A. Ben Makhlouf, B. Tellab, Some results for initial value problem of nonlinear fractional equation in Sobolev space. Journal of Applied
Mathematics and Computing, 67 (2021), 605-621 .
12. A. M. Nagy, A. Ben Makhlouf, A. Alsenafi, F. Alazemi, Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative. Mathematics, 9, No. 21 (2021), 1-14 .
13. E. El-hady, A. Ben Makhlouf, A novel stability analysis for the Darboux problem of partial differential equations via fixed point theory. AIMS Mathematics, 6, No. 11 (2021), 12894-12901
.
14. O. Naifar, A. Jmal, A. Ben Makhlouf, Non‐fragile H∞ observer for Lipschitz conformable fractional‐order systems. Asian Journal of Control, (2021), 1-11 .
15. O. Naifar, G. Rebiai, A. Ben Makhlouf, M. A. Hammami, A. Guezane-Lakoud, Stability analysis of conformable fractional-order nonlinear systems depending on a parameter. Journal of Applied Analysis, 26, No. 2 (2020), 287-296 .
16. S. Boulares, A. Ben Makhlouf, H. Khellaf, Generalized weakly singular integral inequalities with applications to fractional differential equations with respect to another function. Rocky Mountain Journal of Mathematics, 50, No. 6 (2020), 2001-2010 .
17. O. Naifar, A. Jmal, A. M. Nagy, A. Ben Makhlouf, Improved quasiuniform stability for fractional order neural nets with mixed delay. Mathematical Problems in Engineering, 2020, (2020), 1-7.
18. A. Jmal, M. Elloumi, O. Naifar, A. Ben Makhlouf, M. A. Hammami, State estimation for nonlinear conformable fractional‐order systems: a healthy operating case and a faulty operating case. Asian journal of control, 22, No. 5 (2020), 1870-1879 .
19. D. Boucenna, A. Ben Makhlouf, M. A. Hammami, On Katugampola fractional order derivatives and Darboux problem for differential equations. Cubo (Temuco), 22, No. 1 (2020), 125-136.
20. A. Jmal, O. Naifar, A. Ben Makhlouf, N. Derbel, M. A. Hammami, Adaptive Stabilization for a Class of Fractional-Order Systems with Nonlinear Uncertainty. Arabian Journal for Science and Engineering, 45, No. 3 (2020), 2195-2203.
21. A. Jmal, O. Naifar, A. Ben Makhlouf, N. Derbel, M. A. Hammami, Adaptive estimation of component faults and actuator faults for nonlinear one‐sided Lipschitz systems. International Journal of Robust and Nonlinear Control, 30, No. 3 (2020), 1021-1034.
22. A. Ben Makhlouf, D. Boucenna, M. A. Hammami, Existence and stability results for generalized fractional differential equations. Acta Mathematica Scientia, 40, No. 1 (2020), 141- 154.
23. A. Ben Makhlouf, A. M. Nagy, Finite‐time stability of linear Caputo‐Katugampola fractional‐order time delay systems. Asian Journal of Control, 22, No. 1 (2019), 297-306 . 24. A. Jmal, A. Ben Makhlouf, A. M. Nagy, O. Naifar, Finite-time stability for Caputo–
Katugampola fractional-order time-delayed neural networks. Neural Processing Letters, 50, No.
1 (2019), 607-621 .
25. A. Souahi, O. Naifar, A. Ben Makhlouf, M. A. Hammami, Discussion on Barbalat Lemma extensions for conformable fractional integrals. International Journal of Control, 92, No. 2 (2019), 234-241 .
26. O. Naifar, A. M. Nagy, A. Ben Makhlouf, M. Kharrat, M. A. Hammami, Finite‐time stability of linear fractional‐order time‐delay systems. International journal of robust and nonlinear control, 29, No. 1 (2019), 180-187.
27. A. Ben Makhlouf, O. Naifar, M. A. Hammami, B. W. Wu, FTS and FTB of conformable fractional order linear systems. Mathematical Problems in Engineering, 2018 (2018), 1-6.
28. A. Jmal, O. Naifar, A. Ben Makhlouf, N. Derbel, M. A. Hammami, On observer design for nonlinear caputo fractional‐order systems. Asian journal of control, 20, No. 4 (2018), 1533-1540.
29. A. Ben Makhlouf, Stability with respect to part of the variables of nonlinear Caputo fractional differential equations. Mathematical Communications, 23, No. 1 (2018), 119-126.
30. D. Boucenna, A. Ben Makhlouf, O. Naifar, A. Guezane-Lakoud, M. A. Hammami,
Linearized stability analysis of Caputo-Katugampola fractional-order nonlinear systems. Journal of Nonlinear Functional Analysis, 2018 (2018), 1-11.
31. A. Jmal, O. Naifar, A. Ben Makhlouf, N. Derbel, M. A. Hammami, Sensor fault estimation for fractional-order descriptor one-sided Lipschitz systems. Nonlinear Dynamics, 91, No. 3 (2018), 1713-1722.
32. A. Jmal, O. Naifar, A. Ben Makhlouf, N. Derbel, M. A. Hammami, Observer-based model reference control for linear fractional-order systems. International Journal of Digital Signals and Smart Systems, 2, No. 2 (2018), 136-149.
33. O. Naifar, A. Ben Makhlouf, M. A. Hammami, L. Chen, Global practical Mittag Leffler stabilization by output feedback for a class of nonlinear fractional‐order systems. Asian journal of control, 20, No. 1 (2018), 599-607.
34. A. Jmal, O. Naifar, A. Ben Makhlouf, N. Derbel, M. A. Hammami, Robust sensor fault estimation for fractional-order systems with monotone nonlinearities. Nonlinear Dynamics, 90, No. 4 (2017), 2673-2685.
35. A. Souahi, A. Ben Makhlouf, M. A. Hammami, Stability analysis of conformable fractional- order nonlinear systems. Indagationes Mathematicae, 28, No. 6 (2017), 1265-1274.
36. A. Ben Makhlouf, M. A. Hammami, K. Sioud, Stability of fractional-order nonlinear systems depending on a parameter. Bulletin of the Korean Mathematical Society, 54, No. 4 (2017), 1309- 1321.
37. O. Naifar, A. Ben Makhlouf, M. A. Hammami, Comments on “Mittag-Leffler stability of fractional order nonlinear dynamic systems [Automatica 45 (8)(2009) 1965–1969]”. Automatica, 75, (2017), 329.
38. O. Naifar, A. Ben Makhlouf, M. A. Hammami, A. Ouali, On observer design for a class of nonlinear systems including unknown time-delay. Mediterranean Journal of Mathematics, 13, No. 5 (2016), 2841-2851.
39. O. Naifar, A. Ben Makhlouf, M. A. Hammami, Comments on “Lyapunov stability theorem about fractional system without and with delay”. Communications in Nonlinear Science and Numerical Simulation, 30, No. 1-3 (2016), 360-361.
40. O. Naifar, A. Ben Makhlouf, M. A. Hammami, A. Ouali, State feedback control law for a class of nonlinear time-varying system under unknown time-varying delay. Nonlinear Dynamics, 82, No. 1 (2015), 349-355.
41. A. Ben Makhlouf, M. A. Hammami, A nonlinear inequality and application to global asymptotic stability of perturbed systems. Mathematical Methods in the Applied Sciences, 38, No. 12 (2015), 2496-2505.
42. A. Ben Makhlouf, M. A. Hammami, The convergence relation between ordinary and delay- integro-differential equations. International Journal of Dynamical Systems and Differential Equations, 5, No. 3 (2015), 236-247.
43. A. Ben Makhlouf, M. A. Hammami, A comment on “Exponential stability of nonlinear delay equation with constant decay rate via perturbed system method”. International Journal of
Control, Automation and Systems, 12, No. 6 (2014), 1352-1357.
EL-Sayed El-Hady
1. Janusz Brzdęk, EL-Sayed El-Hady, and Leśniak Zbigniew “On fixed points of a linear operator of polynomial form of order 3,” J. Fixed Point Theory Appl. (2018) 20: 85.
https://doi.org/10.1007/s11784-018-0568-8.
2. Brzdęk, J., El-hady, E. &Leśniak, Z., Fixed-point theorem in classes of function with values in a dq-metric space, J. Fixed Point Theory Appl. (2018) 20: 143.
https://doi.org/10.1007/s11784-018-0623-5.
3. EL-Sayed El-Hady, On stability of the functional equation of the p-Wright affine functions in (2,α )-Banach spaces, Journal of the Egyptian Mathematical Society, vol.
27, No. 21, Springer, 2019.
4. Brzdęk, Janusz, EL-Sayed El-Hady, On approximately additive mappings in \(2\)- Banach spaces, Bulletin of Australian Mathematical Society, vol. 100, no.1, 2019.
5. Brzdęk, Janusz, EL-Sayed El-Hady, Jens Schwiger, Investigations on the Hyers-Ulam stability of generalized radical functional equations, Aequationes Mathematicae,
https://link.springer.com/article/10.1007/s00010-019-00665-6, July, 2019.
6. Iz-iddine EL-Fassi, EL-Sayed El-Hady, and Z. Nikodem, On set-valued solutions of a generalized Bi-quadratic functional equation, Results in Mathematics, vol. 75, no.89, 2020.
7. EL-Sayed El-Hady, Süleyman Öğrekçi, On Stability of Some Integral Equation in 2- Banach Spaces, Sigma Journal of Engineering and Natural Sciences, vol. 38, no. 3, pp.
1261--1268 , 2020.
8. EL-Sayed El-Hady, Süleyman Öğrekçi, On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative, Journal of Mathematics and Computer Science-JMCS, volume 22, issue 4, pp 325--332, 2020.
9. EL-Sayed El-Hady, Süleyman Öğrekçi, On Hyers-Ulam-Rassias stability of impulsive Volterra integral equation, submitted, 2020.
10. Janusz Brzdęk, EL-Sayed El-Hady, On hyperstability of the Cauchy functional equation in n-Banach Spaces, Mathematica, vol. 8, MDPI, 2020.
11. EL-Sayed El-Hady, On hyperstability of Cauchy functional equation in (2,γ)-Banach Spaces, Journal of Mathematics and Computer Science, vol. 23, no. 4, pp. , 354--363, 2020.
12. Mariusz Bajger, Brzdęk, Janusz, EL-Sayed El-Hady, and Eliza Jablonska, On the
continuous cancellative semigroups on a real interval and on a circle and some symmetry issues, Symmetry, MDPI, ISSN 2073-8994, vol. 12, no. 12,
https://doi.org/10.3390/sym12121974, 2020.
13. Djalal Boucenna, Abdellatif Ben Makhlouf, El-sayed El-hady, and Mohamed Ali
Hammami, Ulam-Hyers-Rassias stability for generalized fractional differential equations, journal of Mathematical methods in the applied sciences, Vol. 44, no. 13, 2021.
14. Abdellatif Ben Makhlouf, EL-Sayed El-Hady, " Novel stability results for Caputo fractional differential equations," Mathematical Problems in Engineering, vol. 2021, Article ID 9817668 , 2021.
15. EL-Sayed El-Hady, Abdellatif Ben Makhlouf , "A novel stability analysis for the Darboux problem of partial differential equations via fixed point theory", AIMS Mathematics, vol. 6, no. 11, 12894-12901, 2021.
Mohamed Ibrahim Mohamed Youssef Mahmoud
1. M. M. El-Borai, M. I. Youssef “On stochastic solutions of nonlocal random functional integral equations”, Arab Journal of Mathematical Sciences 2018, 5(2), 180-188.
https://doi.org/10.1016/j.ajmsc.2018.11.004
2. M. I. Youssef, “On the solvability of a general class of a coupled system of stochastic functional integral equations”, Arab Journal of Basic and Applied Sciences, 2020, 27(1), 142- 148. https://doi.org/10.1080/25765299.2020.1744071
3. M. I. Youssef, “Caputo-Katugampola fractional Volterra functional differential equations with a vanishing lag function.”, Journal of Nonlinear Sciences & Applications (JNSA), 2020, 13(5), 293-302. http://dx.doi.org/10.22436/jnsa.013.05.06
4. M. I. Youssef, “Generalized fractional delay functional equations with Riemann-Stieltjes and infinite point nonlocal conditions”, Journal of Mathematics and Computer Science (JMCS), 2022, 24(1), 33-48. http://dx.doi.org/10.22436/jmcs.024.01.04
5. M. A. Abdou, M. I. Youssef, “On a method for solving nonlinear integro differential equation of order n”, Journal of Mathematics and Computer Science (JMCS), 2022, 25(4), 322-340.
http://dx.doi.org/10.22436/jmcs.025.04.03
6. M. A. Abdou, M. I. Youssef, “On an approximate solution of a boundary value problem for a nonlinear integro differential equation.”, Arab Journal of Basic and Applied Sciences, 0202, 28(1), 386-396. https://doi.org/10.1080/25765299.2021.1982500
7. M. A. Abdou, M. I. Youssef,” A new model for solving three mixed integral equations with continuous and discontinuous kernels” Asian Research Journal of Mathematics, 2021, 17(7), 29- 38. https://doi.org/10.9734/arjom/2021/v17i730316
Eid Sayed Kamel Sayed
1- Kamel E. S (2021):A class of exact nonlinear analytical periodic solutions for plasma models by using Painlev'e analysis, Journal of Computational and AppliedMathematics (In press).
2- Ahmed SALEM and Eid S. KAMEL (2015): Some Completely Monotonic Functions Associated with q-Gamma and the q- Polygamma Functions , ActaMathematica Scientia,35B(5) :1-11.
3- Khater, A. H. Callebaut D. K. and Kamel E. S. (2008): Nonlinear Periodic Solutions for Isothermal Magnetostatic Atmospheres, Phys. Plasmas,15,122903.
4- Khater, A. H. Callebaut D. K. and Kamel E. S. (2006): Nonlinear Periodic Solutions for Isothermal Magnetostatic Atmospheres, Proceedings of the International Astronomical Union,5233,138.
5- Khater, A. H., Malfliet W, Kamel E.S. (2004): Travelling Wave Solutions of SomeClasses of Nonlinear Evolution Equations In (1+1) And Higher Dimensions, Mathematics and Computers in Simulation 64 (2): 247-258 Jan 27 2004.
6-Khater, A. H., Malfliet W, Callebaut, D. K., Kamel E.S. (2002): The Tanh Method, ASimple Transformation And Exact Analytical Solutions For Nonlinear Reaction- Diffusion Equations Chaos Solitons& Fractals 14 (3): 513-522 .
7- Khater, A. H., Callebaut, D. K., Malfliet W, Kamel E.S. (2002):Backlund Transformations and Exact Solutions for Some Nonlinear Evolution Equations in SolarMagnetostatic
Models, Journal of Computational And AppliedMathematics 140(1-2): 435-467.
8- Khater, A. H., Malfliet W, Callebaut, D. K., Kamel E.S. (2002): Travelling Wave Solutions of Some Classes of Nonlinear Evolution Equations In (1+1) And (2+1) Dimensions, Journal Of Computational And Applied Mathematics 140 (1-2): 469- 477.
9-Khater, A. H., Callebaut, D. K., Kamel E.S. (1998): Painleve Analysis and Nonlinear Periodic Solutions For Isothermal Magnetostatic Atmospheres, Solar Physics 178 (2):
285-315.
Ymnah Salah Alruwaily
1. Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, Sotiris K Ntouyas
. " iEtcaseEe uiRni iattninecaEe ar Ecase tacr a ancnetn EeR ycElaeacS dnn ecn tsi E tseapse_a Ecn danIEeeaycanec_nn mecn isag ecaCsaec
ss eREiS pseRacasen " Mathematics, 2019, Volume 7, pages 249.
https://doi.000000000000000000000000000000000
2. Ahmed Alsaedi, Bashir Ahmad, Ymnah Alruwaily, Sotiris K Ntouyas. On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–
Stieltjes type integro-multipoint boundary conditions. Advances in Difference Equations, 2019, Volume 1, pages 474.
3. Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, Juan J Nieto. Fractional integro-
differential equations with nonlocal dual anti-periodic boundary conditions, Differential and Integral Equations, 2020, Volume 33, pages 181-206.
4. Bashir Ahmad, Ahmed Alsaedi, Ymnah Alruwaily, Sotiris K Ntouyas. Nonlinear multi-term fractional differential equations with Riemann-Stieltjes integro-multipoint boundary
conditions, AIMS Math, 2020, Volume 5, pages 1446-1461.
5. BASHIR AHMAD, RAVI P AGARWAL, AMHED ALSAEDI, SOTIRIS K
NTOUYAS, YMNAH ALRUWAILY. Fractional order coupled systems for mixed fractional derivatives with nonlocal multi-point and Riemann-Stieltjes integral-multi-strip conditions.
Dynamic Systems and Applications, 2020, Volume 29, pages 71-86.
6. Ymnah Salah Alruwaily, e acniEcadn IncrsR tsi nsedae ls eREiS dEe n CislenIn tsi aEe nr EcasennntseRasiRni Rattninec. JOURNAL OF ADVANCES IN MATHEMATICS, 2016, Volume 12, pages 6489-6499.
7. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas and Ymnah Alruwaily, On a Fractional Integro-Differential System Involving Riemann-Liouville and Caputo Derivatives with Coupled Multi-Point Boundary Conditions.International Journal of Difference
Equations,Volume 15,Number 2, pages 209-241 (2020).
8- Bashir Ahmad, Ymnah Alruwaily ,Ahmed Alsaedi and Sotiris K. Ntouyas, Sequential fractional differential equations with nonlocal integro-multipoint boundary conditions. Novi Sad J. Math (2021) (accepted).
