Results 71 to 80 of about 370 (165)

The Double Sumudu-Sawi Transform

European Journal of Pure and Applied Mathematics
The paper explores integral transforms and their broader generalizations. The primary aim is to develop a new integral transform that combines the Hybrid Sumudu and Sawi transforms, investigating their properties, existence, and inversion theorem. We introduce recent findings on partial differential equations in higher dimensions and broaden the scope ...
Raed Abu Awwad, Monther Al-Momani, Baha' Abughazaleh, Ali Jaradat, Abdulkarim Farah   +4 more
openaire   +1 more source

Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
Various significant problems in physics and astrophysics have been successfully solved using fractional kinetic equations (FKEs) and special functions. This study applies the Elzaki integral transform to FKEs incorporating orthogonal polynomials and their generating functions.
Mulualem Aychluh, D. L. Suthar, S. D. Purohit, Biniyam Shimelis, Ivan Giorgio   +4 more
wiley   +1 more source

Analytical Solutions of Heat‐Like Equation Using Elzaki Transform Variational Iteration Method: Black–Scholes Equation

Complexity, Volume 2025, Issue 1, 2025.
This paper presents the application of the Elzaki variational iteration method to solve the Black–Scholes model, which can be formulated as a heat‐like partial differential equation with specified initial conditions. The Black–Scholes equation is fundamental in financial mathematics for option pricing, traditionally solved using numerical methods that ...
Din Prathumwan, Inthira Chaiya, Kamonchat Trachoo, Abdellatif Ben Makhlouf   +3 more
wiley   +1 more source

An efficient hybrid computational technique for solving nonlinear local fractional partial differential equations arising in fractal media

Nonlinear Engineering, 2018
In present work, nonlinear fractional partial differential equations namely transport equation and Fokker-Planck equation involving local fractional differential operators, are investigated by means of the local fractional homotopy perturbation Sumudu ...
Prakash Amit, Kaur Hardish
doaj   +1 more source

Notes on fuzzy fractional Sumudu transform

Journal of Mathematics and Computer Science, 2017
Summary: In this paper, the analytical solutions of fuzzy fractional differential equations (FFDEs) are obtained by using the combination of fractional Sumudu transform (FST) and fuzzy calculus. In this regard, we extend the notation of FST to fuzzy fractional Sumudu transformation (FFST) and discuss its fundamental properties for the fuzzy-valued ...
Khan, Najeeb Alam, Razzaq, Oyoon Abdul, Ayaz, Muhammad   +2 more
openaire   +3 more sources

New Numerical Solutions for Caputo–Fabrizio Fractional Differential Multidimensional Diffusion Problems

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study examined the multidimensional fractional diffusion equations that characterize the density dynamics in a diffusing medium utilizing the exact and analytical Aboodh transform decomposition method (ATDM). The Caputo–Fabrizio (CF) derivative is utilized to account for the fractional derivative that is being employed here.
Yasin Şahin, Mehmet Merdan, R. N. Mohapatra   +2 more
wiley   +1 more source

A Tutorial to Approximately Invert the Sumudu Transform

Applied Mathematics, 2019
Unlike the traditional Laplace transform, the Sumudu transform of a function, when approximated as a power series, may be readily inverted using factorial-based coefficient diminution. This technique offers straightforward computational advantages for approximate range-limited numerical solutions of certain ordinary, mixed, and partial linear ...
Glen Atlas, John K.-J. Li, Adam Work
openaire   +2 more sources

Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable‐Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan, Saleem Abdullah, Samuel Okyere, Bikash Koli Dey   +3 more
wiley   +1 more source

An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma

Journal of Ocean Engineering and Science, 2019
In this work, we apply an efficient analytical algorithm namely homotopy perturbation Sumudu transform method (HPSTM) to find the exact and approximate solutions of linear and nonlinear time-fractional regularized long wave (RLW) equations.
Amit Goswami, Jagdev Singh, Devendra Kumar, Sumit Gupta, Sushila   +4 more
doaj   +1 more source

Numerical study of fractional model of multi-dimensional dispersive partial differential equation

Journal of Ocean Engineering and Science, 2019
This article is devoted to a newly introduced numerical method for time-fractional dispersive partial differential equation in a multi-dimensional space.
Vijay Verma, Amit Prakash, Devendra Kumar, Jagdev Singh   +3 more
doaj   +1 more source