[HTML][HTML] A semi-analytic method to solve nonlinear differential equations with arbitrary order

JP Chauhan, SR Khirsariya - Results in Control and Optimization, 2023 - Elsevier
In this paper, we describe the new Adomian Decomposition General Transform Method
(ADGTM). Further, the efficacy of the method is proved by applying it to well-known …

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 …

Analytical Solution of One‐Dimensional Nonlinear Conformable Fractional Telegraph Equation by Reduced Differential Transform Method

AT Deresse - Advances in Mathematical Physics, 2022 - Wiley Online Library
In this paper, the reduced differential transform method (RDTM) is successfully implemented
to obtain the analytical solution of the space‐time conformable fractional telegraph equation …

[HTML][HTML] Modified conformable double Laplace–Sumudu approach with applications

SA Ahmed, R Saadeh, A Qazza, TM Elzaki - Heliyon, 2023 - cell.com
In this study, we combine two novel methods, the conformable double Laplace-Sumudu
transform (CDLST) and the modified decomposition technique. We use the new approach …

The estimation problem for nonlinear systems modeled by conformable derivative: Design and applications

O Martinez-Fuentes, E Tlelo-Cuautle… - … in Nonlinear Science …, 2022 - Elsevier
This work presents an introductory observer theory for nonlinear dynamic systems modeled
by the general conformable fractional derivative. General conformable exponential …

[HTML][HTML] Double Conformable Sumudu Transform

A Al-Rab'a, S Al-Sharif, M Al-Khaleel - Symmetry, 2022 - mdpi.com
In this paper, we introduce a new approach to solving fractional initial and boundary value
problems involving a heat equation, a wave equation, and a telegraph equation by …

[HTML][HTML] Computational Analysis for Solving the Linear Space-Fractional Telegraph Equation

ZM Alaofi, TS El-Danaf, A Hadhoud… - Open Journal of Modelling …, 2022 - scirp.org
Over the last few years, there has been a significant increase in attention paid to fractional
differential equations, given their wide array of applications in the fields of physics and …

Numerical Treatment of Some Types of Nonlinear Partial Differential Equations

ZM Alaofi - 2023 - vuir.vu.edu.au
Over the last decade, many quality research papers and monographs have been published
focusing on numerical approximations of nonlinear partial differential equations (NPDEs) …

[PDF][PDF] Results in Control and Optimization

JP Chauhan, SR Khirsariya, BM Yeolekar… - researchgate.net
In this paper, we describe the new Adomian Decomposition General Transform Method
(ADGTM). Further, the efficacy of the method is proved by applying it to well-known …

[PDF][PDF] Modified Conformable Double Laplace-Sumudu Approach with Applications Shams A. Ahmed, Rania Saadeh c,*, Ahmad Qazza c, Tarig M. Elzaki d

SA Ahmed - researchgate.net
In this study, we combine two novel methods, the conformable double Laplace-Sumudu
transform (CDLST) and the modified decomposition technique. We use the new approach …