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Application of residual power series method for the solution of time-fractional Schrödinger equations in one-dimensional space
O Abu Arqub - Fundamenta Informaticae, 2019 - journals.sagepub.com
The object of this article is to present the computational solution of the time-fractional
Schrödinger equation subject to given constraint condition based on the generalized Taylor …
Schrödinger equation subject to given constraint condition based on the generalized Taylor …
Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC–Fractional Volterra integro-differential equations
OA Arqub, B Maayah - Chaos, Solitons & Fractals, 2019 - Elsevier
This paper focuses on providing a novel high-order algorithm for the numerical solutions of
fractional order Volterra integro-differential equations using Atangana–Baleanu approach by …
fractional order Volterra integro-differential equations using Atangana–Baleanu approach by …
[HTML][HTML] Promoted residual power series technique with Laplace transform to solve some time-fractional problems arising in physics
Physical applications involving time-fractional derivatives are reflecting some memory
characteristics. These inherited memories have been identified as a homotopy map** of …
characteristics. These inherited memories have been identified as a homotopy map** of …
Numerical multistep approach for solving fractional partial differential equations
In this paper, we proposed a novel analytical technique for one-dimensional fractional heat
equations with time fractional derivatives subjected to the appropriate initial condition. This …
equations with time fractional derivatives subjected to the appropriate initial condition. This …
[PDF][PDF] Solving fractional partial differential equations via a new scheme
Solving fractional partial differential equations via a new scheme Page 1 AIMS Mathematics,
8(3): 5318–5337. DOI: 10.3934/math.2023267 Received: 16 September 2022 Revised: 30 …
8(3): 5318–5337. DOI: 10.3934/math.2023267 Received: 16 September 2022 Revised: 30 …
Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative
In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations
(PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed …
(PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed …
Dual-wave solutions for the quadratic–cubic conformable-Caputo time-fractional Klein–Fock–Gordon equation
In this paper, the conformable-time-fractional Klein–Fock–Gordon equation is considered
and solved using the Kudryashov-expansion method to extract dual-wave solutions. Only …
and solved using the Kudryashov-expansion method to extract dual-wave solutions. Only …
[PDF][PDF] Residual power series method for solving time-fractional model of vibration equation of large membranes
The primary aim of this manuscript is to present the approximate analytical solutions of the
time fractional order α (1< α≤ 2) Vibration Equation (VE) of large membranes with the use of …
time fractional order α (1< α≤ 2) Vibration Equation (VE) of large membranes with the use of …
[HTML][HTML] Series solutions for nonlinear time-fractional Schrödinger equations: Comparisons between conformable and Caputo derivatives
In the present paper, we present the exact analytical solution of the time-fractional
Schrödinger equation (TFSE) in the sense of conformable fractional derivative (Co-FD) …
Schrödinger equation (TFSE) in the sense of conformable fractional derivative (Co-FD) …
Series solutions of nonlinear conformable fractional KdV-Burgers equation with some applications
In this paper, the non-linear fractional KdV-Burgers equation (KdVBE) in terms of
conformable fractional derivative (CFD) is reconstituted instead of the Caputo fractional …
conformable fractional derivative (CFD) is reconstituted instead of the Caputo fractional …