References
- Podlubny I. Fractional differential equations. Academic Press. San Diego; 1999.
- Podlubny I. Geometric and physical interpretation of fractional integration and fractional differentiation. Fract.Calculus. Appl. Anal. 2002;5:367-386.
- He J. Nonlinear oscillation with fractional derivative and its applications, International Conference on VibratingEngineering. Dalian. China. 1998;288-291.
- He J. Some applications of nonlinear fractional differential equations and their approximations. Bull. Sci. Technol. 1999; 15:86-90.
- He J. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Meth-ods. Appl. Mech. Eng. 1998;167:57-68.
- Grigorenko I, Grigorenko E. Chaotic dynamics of the fractional lorenz system. Phys. Rev. Lett. 2003; 91:034101.
- Mainardi F. Fractional calculus: some basic problems in continuum and statistical mechanics. Fractals and fractional calculus in continuum mechanics. Springer-Verlag,New York. 1997;291-348.
- Kilbas AA, Srivastava HM, Trujillo JJ. Theory and Applications of Fractional Differential Equations. Elsevier,San Diego; 2006.
- Momani S, Shawagfeh NT. Decomposition method for solving fractional Riccati differential equations. Appl. Math. Comput. 2006; 182:1083-1092.
- Momani S, Noor MA. Numerical methods for fourth-order fractional integrodifferential equations, Appl. Math. Comput, 2006;182:754-760.
- Gejji VD, Jafari H. Solving a multi-order fractional differential equation. Appl. Math. Comput, 2007;189:541-548.
- Ray SS, Chaudhuri KS, Bera RK. Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method. Appl. Math. Comput, 2006;182:544-552.
- Wang Q. Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method. Appl. Math. Comput, 2006; 182:1048-1055.
- Iskakova K, Alam MM, Ahmad A, Saifullah S, Akgül A, Yılmaz G. Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis. Mathematics and Computers in Simulation. 2023;208: 219-245.
- Alqahtani RT, Ahmad S, Akgül A. Dynamical Analysis of Bio-Ethanol Production Model under Generalized Nonlocal Operator in Caputo Sense. Mathematics. 2021; 9(19):2370. https://doi.org/10.3390/math9192370
- Ahmad S, Ullah A, Akgül A, Jarad F. A hybrid analytical technique for solving nonlinear fractional order PDEs of power law kernel: Application to KdV and Fornberg-Witham equations [J]. AIMS Mathematics, 2022; 7(5): 9389-9404. https://doi.org/10.3934/math.2022521
- Alqahtani RT, Ahmad S, Akgül A. Mathematical Analysis of Biodegradation Model under Nonlocal Operator in Caputo Sense. Mathematics. 2021; 9(21):2787. https://doi.org/10.3390/math9212787
- Ahmad S, Saifullah S. Analysis of the seventh-order Caputo fractional KdV equation: applications to the Sawada–Kotera–Ito and Lax equations, Commun. Theor. Phys. 2023; 75(8): 085002. https://doi.org/10.1088/1572-9494/acded7
- Hilal EMA, Elzaki TM. Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method. Journal of Function Spaces. 2014;1-5. http://dx.doi.org/10.1155/2014/790714
- Elzaki TM, Biazar J. Homotopy Perturbation Method and Elzaki Transform for Solving System of Nonlinear Partial Differential Equations. World Applied Sciences Journal; 2013. https://doi.org/10.5829/idosi.wasj.2013.24.07.1041
- Elzaki TM. Application of Projected Differential Transform Method on Nonlinear Partial Differential Equations with Proportional Delay in One Variable. World Applied Sciences Journal; 2014. https://doi.org/10.5829/idosi.wasj.2014.30.03.1841
- Masood S, Khan HH, Shah R, Mustafa S, Khan Q, Arif M, Tchier F, Singh G. A New Modified Technique of Adomian Decomposition Method for Fractional Diffusion Equations with Initial-Boundary Conditions. Journal of Function Spaces. 2022; 6890517. https://doi.org/10.1155/2022/6890517
- Ige OE, Oderinu RA, Elzaki TM. Numerical Simulation Of The Nonlinear Coupled Jaulent-Miodek Equation By Elzaki Transform-Adomian Polynomial Method. Advances in Mathematics: Scientific Journal. 2020;9(12): 10335–10355. https://doi.org/10.37418/amsj.9.12.25
- Ige OE, Oderinu RA, Elzaki TM. Adomian Polynomial And Elzaki Transform Method For Solving Klein Gordon Equations. International Journal of Applied Mathematics. 2019; 32(3): 451-468. http://dx.doi.org/10.12732/ijam.v32i3.7
- Alderremy AA, Elzaki TM, Chamekh M. Modified Adomian Decomposition Method to Solve Generalized Emden–Fowler Systems for Singular IVP. Hindawi. Mathematical Problems in Engineering. 2019; 6097095. https://doi.org/10.1155/2019/6097095
- Elzaki TM, Ishag AA. Modified Laplace Transform and Ordinary Differential Equations with Variable Coefficients. World Engineering & Applied Sciences Journal. 2019; 10 (3): 79-84. https://doi.org/10.5829/idosi.weasj.2019.79.84
- Elzaki TM, Chamekh M, Ahmed SA. Modified Integral Transform for Solving Benney-Luke and Singular Pseudo-Hyperbolic Equations. Acta Mechanica et Automatica. 2024;18(1). https://doi.org/10.2478/ama-(2024)-0018
- Ahmed SA, Saade R, Qazza A, Elzaki TM. Applying Conformable Double Sumudu–Elzaki Approach to Solve Nonlinear Fractional Problems. Progr. Fract. Differ. Appl. 2024;10(2): 271-286. http://dx.doi.org/10.18576/pfda/100208
- Elzaki TM, Mohamed MZ. A Novel Analytical Method For The Exact Solution Of The Fractional-Order Biological Population Model. Acta Mechanica et Automatica. 2024; 18(3):564-570. https://doi.org/10.2478/ama-2024-0059
- Chamekh M, Latrach MA, Elzaki TM. Novel Integral Transform Treating Some Ψs-Fractional Derivative Equations. Acta Mechanica et Automatica. 2024; 18 (3). https://doi.org/10.2478/ama-2024-0060
- Elzaki TM, Ahmed SA. Novel approach for solving fractional partial differential equations using conformable Elzaki Transform. J. Umm Al-Qura Univ. Appll. Sci. 2024. https://doi.org/10.1007/s43994-024- 00188-0
- Magzoub M, Elzaki TM, Chamekh M. An innovative method for solving linear and nonlinear fractional telegraph equations. Advances in Differential Equations and Control Processes. 2024; 31(4): 651-671. https://doi.org/10.17654/0974324324033