[HTML][HTML] A new analytical modelling for fractional telegraph equation via Laplace transform

S Kumar - Applied Mathematical Modelling, 2014‏ - Elsevier
The main aim of the present work is to propose a new and simple algorithm for space-
fractional telegraph equation, namely new fractional homotopy analysis transform method …

A homotopy technique for a fractional order multi-dimensional telegraph equation via the Laplace transform

A Prakash, P Veeresha, DG Prakasha… - The European Physical …, 2019‏ - Springer
An effective analytical technique, called q-homotopy analysis transform method (q-HATM) is
demonstrated in order to analyse a fractional model of telegraph equations. Test examples …

Numerical solution of fractional telegraph equation by using radial basis functions

VR Hosseini, W Chen, Z Avazzadeh - Engineering Analysis with Boundary …, 2014‏ - Elsevier
In this paper, we implement the radial basis functions for solving a classical type of time-
fractional telegraph equation defined by Caputo sense for (1< α≤ 2). The presented method …

[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 …

[کتاب][B] Fuzzy differential equations and applications for engineers and scientists

S Chakraverty, S Tapaswini, D Behera - 2016‏ - taylorfrancis.com
Differential equations play a vital role in the modeling of physical and engineering problems,
such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other …

The fractional natural decomposition method: theories and applications

MS Rawashdeh - Mathematical Methods in the Applied …, 2017‏ - Wiley Online Library
In this paper, we propose a new method called the fractional natural decomposition method
(FNDM). We give the proof of new theorems of the FNDM, and we extend the natural …

Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform

J Singh, D Kumar, A Kılıçman - Abstract and Applied Analysis, 2013‏ - Wiley Online Library
A user friendly algorithm based on new homotopy perturbation Sumudu transform method
(HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional …

Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation

L Wei, Y He, X Zhang, S Wang - Finite Elements in Analysis and Design, 2012‏ - Elsevier
In this paper we present and analyze an implicit fully discrete local discontinuous Galerkin
(LDG) finite element method for solving the time-fractional Schrödinger equation, where the …

[HTML][HTML] Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems

L Wei, Y He - Applied Mathematical Modelling, 2014‏ - Elsevier
In this paper, we propose and analyze a fully discrete local discontinuous Galerkin (LDG)
finite element method for time-fractional fourth-order problems. The method is based on a …

[HTML][HTML] Novel numerical approach based on modified extended cubic B-spline functions for solving non-linear time-fractional telegraph equation

T Akram, M Abbas, A Iqbal, D Baleanu, JH Asad - Symmetry, 2020‏ - mdpi.com
The telegraph model describes that the current and voltage waves can be reflected on a
wire, that symmetrical wave patterns can form along a line. A numerical study of these …