Equilibrium points, stability and numerical solutions of fractional-order predator–prey and rabies models E Ahmed, AMA El-Sayed, HAA El-Saka Journal of Mathematical Analysis and Applications 325 (1), 542-553, 2007 | 824 | 2007 |
Fractional order theory of thermoelasticity HH Sherief, AMA El-Sayed, AM Abd El-Latief International Journal of Solids and structures 47 (2), 269-275, 2010 | 594 | 2010 |
On some Routh–Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems E Ahmed, AMA El-Sayed, HAA El-Saka Physics Letters A 358 (1), 1-4, 2006 | 594 | 2006 |
Fractional-order diffusion-wave equation AMA El-Sayed International Journal of Theoretical Physics 35, 311-322, 1996 | 382 | 1996 |
On the fractional-order logistic equation AMA El-Sayed, AEM El-Mesiry, HAA El-Saka Applied mathematics letters 20 (7), 817-823, 2007 | 378 | 2007 |
Nonlinear functional differential equations of arbitrary orders AMA El-Sayed Nonlinear Analysis: Theory, Methods & Applications 33 (2), 181-186, 1998 | 359 | 1998 |
The Adomian decomposition method for solving partial differential equations of fractal order in finite domains AMA El-Sayed, M Gaber Physics Letters A 359 (3), 175-182, 2006 | 272 | 2006 |
Multivalued fractional differential equations AMA El-Sayed, AG Ibrahim Applied Mathematics and Computation 68 (1), 15-25, 1995 | 211 | 1995 |
Exact solutions of fractional-order biological population model AMA El-Sayed, SZ Rida, AAM Arafa Communications in Theoretical Physics 52 (6), 992, 2009 | 188 | 2009 |
Adomian’s decomposition method for solving an intermediate fractional advection–dispersion equation AMA El-Sayed, SH Behiry, WE Raslan Computers & Mathematics with Applications 59 (5), 1759-1765, 2010 | 176 | 2010 |
Numerical methods for multi-term fractional (arbitrary) orders differential equations AEM El-Mesiry, AMA El-Sayed, HAA El-Saka Applied Mathematics and Computation 160 (3), 683-699, 2005 | 153 | 2005 |
On the finite Caputo and finite Riesz derivatives AMA El-Sayed, M Gaber Electronic Journal of Theoretical Physics 3 (12), 81-95, 2006 | 152 | 2006 |
Fractional order evolution equations AMA El-Sayed J. of Frac. Calculus 7, 89-100, 1995 | 145 | 1995 |
Numerical solution for multi-term fractional (arbitrary) orders differential equations AMA El-Sayed, AEM El-Mesiry, HAA El-Saka Computational & Applied Mathematics 23, 33-54, 2004 | 142 | 2004 |
Fractional-order Chua’s system: discretization, bifurcation and chaos RP Agarwal, AMA El-Sayed, SM Salman Advances in Difference Equations 2013, 1-13, 2013 | 140 | 2013 |
On two definitions of fractional calculus I Podlubny, AMA El-Sayed preprint UEF, 03-96, 1996 | 133 | 1996 |
Dynamical behaviors, circuit realization, chaos control, and synchronization of a new fractional order hyperchaotic system AMA El-Sayed, HM Nour, A Elsaid, AE Matouk, A Elsonbaty Applied Mathematical Modelling 40 (5-6), 3516-3534, 2016 | 116 | 2016 |
On the solutions of time-fractional reaction–diffusion equations SZ Rida, AMA El-Sayed, AAM Arafa Communications in Nonlinear Science and Numerical Simulation 15 (12), 3847-3854, 2010 | 110 | 2010 |
On stability, persistence, and Hopf bifurcation in fractional order dynamical systems HA El-Saka, E Ahmed, MI Shehata, AMA El-Sayed Nonlinear Dynamics 56, 121-126, 2009 | 91 | 2009 |
On a discretization process of fractional-order Riccati differential equation AMA El-Sayed, SM Salman J. Fract. Calc. Appl 4 (2), 251-259, 2013 | 84 | 2013 |