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On the Relationship Between the Fractional Sumudu Transform and Fractional Fourier Transform [PDF]

, 2020
In this paper we have discussed fractional Sumudu transforms and its relationship with fractional Fourier transform and obtained the mathematical expression of kernel of fractional Sumudu transform.
Saeed , Sadaf, Iqbal , Saleem, Sarwar , Farhana, Rehman, Abdul   +3 more
core   +1 more source

A computational approach for fractional convection-diffusion equation via integral transforms

Ain Shams Engineering Journal, 2018
In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which ...
Jagdev Singh, Ram Swroop, Devendra Kumar
doaj   +1 more source

A comparative study to solve fractional initial value problems in discrete domain

Open Engineering, 2023
In this article, we used some methods to solve Riemann-type fractional difference equations. Firstly, we use a method that is a composite method based on the successive approximation method with the Sumudu transform.
Abed Alaa Mohsin, Jafari Hossein, Mechee Mohammed Sahib   +2 more
doaj   +1 more source

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Note on transport equation and fractional Sumudu transform

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kadem, Abdelouahab, Kilicman, Adem
openaire   +1 more source

Modeling and Complexity Analysis of Fuzzy‐Fractional Chaotic Systems Using Deep Neural Networks

Complexity, Volume 2026, Issue 1, 2026.
Nonlinear dynamical systems exhibiting chaos, memory and uncertainty effects play a vital role in the modeling of complex phenomena in science and engineering. Due to the rapid growing of development in machine learning and artificial intelligence, data‐driven methods have been widely used for predicting and analysing nonlinear dynamical systems ...
Shamaila Waheed, Mubashir Qayyum, Aiedh Mrisi Alharthi, Syed Tauseef Saeed, Gilbert Chambashi, Jesus Manuel Munoz-Pacheco   +5 more
wiley   +1 more source

On the Double of the Laplace–Mayan Transformation and Its Properties With Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this study, we have been able to extend the concept of a Mayan integral transform for a one‐dimensional Mayan integral transform to a two dimensional, also called the double Laplace–Mayan integral transform. Some key concepts, definitions, and theorems for the double Laplace–Mayan transform have also been defined in this study.
Eman A. Mansour, Elaf Sabah Abbas, Hussein Jameel Mutashar, Emad A. Kuffi, Mohamed A. Labeeb, Asıf Yokus   +5 more
wiley   +1 more source

On q-Sumudu transforms of certain q-polynomials

Filomat, 2013
Although Sumudu transform is the theoritical dual of the Laplace transform, it has many applications in sciences and engineering for its special fundamental properties. In a previous paper (3), we studied q-analogues of the Sumudu transform and derived some fundamental properties.
Durmuş Albayrak, Dutt Purohit, Faruk Uçar   +2 more
openaire   +3 more sources

Approximating the finite Mellin and Sumudu transforms utilizing wavelet transform

Filomat, 2020
In this study, some approximates for the finite Wavelet transform of different classes of absolutely continues mappings are presented using Wavelet transform of unit function. Then, with the help of these approximates, some other approximates for the finite Mellin and Sumudu transforms are given.
Usta, Fuat, Budak, Hüseyin, Sarıkaya, Mehmet Zeki   +2 more
openaire   +3 more sources

Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations [PDF]

Mathematics and Computational Sciences
This paper focuses on deriving the exact solution to the linear fractional partial integro-differential equation through the application of the double ARA-Sumudu transform.
Jagdish Nanaware, Akshaykumar Dongardive
doaj   +1 more source