Dynamics of optical solitons in the perturbed Gerdjikov–Ivanov equation K Hosseini, M Mirzazadeh, M Ilie, S Radmehr Optik 206, 164350, 2020 | 110 | 2020 |
Biswas–Arshed equation with the beta time derivative: optical solitons and other solutions K Hosseini, M Mirzazadeh, M Ilie, JF Gómez-Aguilar Optik 217, 164801, 2020 | 105 | 2020 |
The first integral method for solving some conformable fractional differential equations M Ilie, J Biazar, Z Ayati Optical and Quantum Electronics 50 (2), 2018 | 67 | 2018 |
A new approach to the solution of the prey and predator problem and comparison of the results with the Adomian method J Biazar, M Ilie, A Khoshkenar Applied Mathematics and Computation 171 (1), 486-491, 2005 | 51 | 2005 |
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation K Hosseini, E Hinçal, M Ilie Nonlinear Dynamics 111 (18), 17455-17462, 2023 | 50 | 2023 |
An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law K Hosseini, M Ilie, M Mirzazadeh, D Baleanu Mathematical Methods in the Applied Sciences 44 (8), 6247-6258, 2021 | 49 | 2021 |
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense K Hosseini, M Ilie, M Mirzazadeh, A Yusuf, TA Sulaiman, D Baleanu, ... Mathematics and Computers in Simulation 187, 248-260, 2021 | 47 | 2021 |
Resonant solitons to the nonlinear Schrödinger equation with different forms of nonlinearities M Ilie, J Biazar, zainab Ayati Optik - International Journal for Light and Electron Optics 164 (https://doi …, 2018 | 39 | 2018 |
General solution of Bernoulli and Riccati fractional differential equations based on conformable fractional derivative M Ilie, J Biazar, Z Ayati International Journal of Applied Mathematical Research 6 (2), 49-51, 2017 | 37 | 2017 |
An improvement to an alternate algorithm for computing Adomian polynomials in special cases J Biazar, M ilie, A khoshkenar Applied Mathematics and Computation 173 (1), 582-592, 2006 | 29 | 2006 |
Analytical study of exact traveling wave solutions for time‑fractional nonlinear Schrödinger equations M Ilie, J Biazar, zainab Ayati Optical and Quantum Electronics 50 (12), Doi.org/10.1007/s11082-018-1682-y, 2018 | 25 | 2018 |
Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations K Hosseini, M Inc, M Shafiee, M Ilie, A Shafaroody, A Yusuf, M Bayram Journal of Ocean Engineering and Science 5 (1), 35-40, 2020 | 24 | 2020 |
A nonlinear Schrödinger equation describing the polarization mode and its chirped optical solitons M Eslami, K Hosseini, M Matinfar, M Mirzazadeh, M Ilie, JF Gómez-Aguilar Optical and Quantum Electronics 53, 1-9, 2021 | 21 | 2021 |
Analytical solutions for conformable fractional bratu-type equations M Ilie, J Biazar, Z Ayati International Journal of Applied Mathematical Research 7 (1), 15-19, 2018 | 19 | 2018 |
OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR FIRST-ORDER CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS M Ilie, J Biazar, zainab Ayati Journal of Fractional Calculus and Applications 10 (1), 33-45, 2019 | 16 | 2019 |
General solution of second order fractional differential equations M Ilie, J Biazar, zainab Ayati International Journal of Applied Mathematical Research 7 (2), 56-61, 2018 | 16 | 2018 |
Application of the Lie Symmetry Analysis for Scond-order Fractional Differential Equations M Ilie, J Biazar, Z Ayati Iranian Journal of Optimization 9 (2), 79-83, 2017 | 16 | 2017 |
A detailed study on a new (2+ 1)-dimensional mKdV equation involving the Caputo–Fabrizio time-fractional derivative K Hosseini, M Ilie, M Mirzazadeh, D Baleanu Advances in Difference Equations 331 (doi.org/10.1186/s13662-020-02789-5), 2020 | 13 | 2020 |
The Caputo–Fabrizio time-fractional Sharma–Tasso–Olver–Burgers equation and its valid approximations K Hosseini, M Ilie, M Mirzazadeh, D Baleanu, C Park, S Salahshour Communications in Theoretical Physics 74 (7), 075003, 2022 | 10 | 2022 |
Lie symmetry analysis for the solution of first-order linear and nonlinear fractional differential equations M Ilie, J Biazar, zainab Ayati International Journal of Applied Mathematical Research 7 (2), 37-41, 2018 | 10 | 2018 |