[HTML][HTML] Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

FA Shah, M Irfan, KS Nisar, RT Matoog, EE Mahmoud - Results in Physics, 2021 - Elsevier
In this article, a new and efficient operational matrix method based on the amalgamation of
Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional …

Differential transform method: A comprehensive review and analysis

SH Hashemi Mehne - Iranian Journal of Numerical Analysis and …, 2022 - ijnao.um.ac.ir
The complexity of solving differential equations in real-world applications motivates
researchers to extend numerical methods. Among different numerical and semi-analytical …

An analytical framework of 2D diffusion, wave-like, telegraph, and Burgers' models with twofold Caputo derivatives ordering

I Jaradat, M Alquran, R Abdel-Muhsen - Nonlinear Dynamics, 2018 - Springer
The purpose of the current work is to provide an analytical solution framework based on
extended fractional power series expansion to solve 2D temporal–spatial fractional …

A Haar wavelet collocation approach for solving one and two‐dimensional second‐order linear and nonlinear hyperbolic telegraph equations

M Asif, N Haider, Q Al‐Mdallal… - Numerical Methods for …, 2020 - Wiley Online Library
We have developed a new numerical method based on Haar wavelet (HW) in this article for
the numerical solution (NS) of one‐and two‐dimensional hyperbolic Telegraph equations …

Solving the integral differential equations with delayed argument by using the DTM method

E Hetmaniok, M Pleszczyński, Y Khan - Sensors, 2022 - mdpi.com
Recently, a lot of attention has been paid to the field of research connected with the wireless
sensor network and industrial internet of things. The solutions found by theorists are next …

Analytical Solution of Two‐Dimensional Sine‐Gordon Equation

AT Deresse, YO Mussa… - Advances in Mathematical …, 2021 - Wiley Online Library
In this paper, the reduced differential transform method (RDTM) is successfully implemented
for solving two‐dimensional nonlinear sine‐Gordon equations subject to appropriate initial …

Novel Approaches for solving fuzzy fractional partial differential equations

M Osman, Y **a, M Marwan, OA Omer - Fractal and Fractional, 2022 - mdpi.com
In this paper, we present a comparison of several important methods to solve fuzzy partial
differential equations (PDEs). These methods include the fuzzy reduced differential …

Analytical Solutions to Two‐Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method

AT Deresse - Advances in Mathematical Physics, 2022 - Wiley Online Library
The conformable fractional triple Laplace transform approach, in conjunction with the new
Iterative method, is used to examine the exact analytical solutions of the (2+ 1)‐dimensional …

Approximate Analytic Solutions of Two‐Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method

WG Belayeh, YO Mussa… - Mathematical Problems in …, 2020 - Wiley Online Library
In this paper, the reduced differential transform method (RDTM) is successfully implemented
for solving two‐dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic …

[PDF][PDF] An analytical study of (2+ 1)-dimensional physical models embedded entirely in fractal space

M Alquran, I Jaradat, D Baleanu, R Abdel-Muhsen - Rom. J. Phys, 2019 - rjp.nipne.ro
In this article, we analytically furnish the solution of (2+ 1)-dimensional fractional differential
equations, with distinct fractal-memory indices in all coordinates, as a trivariate (α, β, γ) …