Results 61 to 70 of about 370 (165)

Analytical Investigation of Fractional Nonlinear Systems in Compact‐Open Banach Spaces: Applications in the Chemical Wave Propagation Theory

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag, Khaled M. Saad, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Smritijit Sen   +5 more
wiley   +1 more source

Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

Abstract and Applied Analysis, 2014
Local fractional derivatives were investigated intensively during the last few years. The coupling method of Sumudu transform and local fractional calculus (called as the local fractional Sumudu transform) was suggested in this paper.
H. M. Srivastava, Alireza Khalili Golmankhaneh, Dumitru Baleanu, Xiao-Jun Yang   +3 more
doaj   +1 more source

Fractional Adomian J‐Transform Method for Time‐Fractional Diffusion‐Wave Equations: Theory and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this research, we introduce the fractional Adomian J‐transform method FAJM, which functions as a robust hybrid analytical‐numerical framework. Diverging from traditional transform techniques, the FAJM leverages the specific scaling attributes of the J‐transform to streamline the inversion of nonlocal fractional operators.
Nazek A. Obeidat, Mahmoud S. Rawashdeh, Ali M. Baniatta, Pramita Mishra   +3 more
wiley   +1 more source

Fuzzy‐Fractional Modeling and Analysis of Tobacco Smoking Dynamics via He–Laplace–Carson Framework

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study develops a fuzzy‐fractional nonlinear tobacco smoking model by incorporating triangular fuzzy numbers and Caputo fractional derivative. The He–Laplace–Carson algorithm is used to solve and analyze the uncertainties and memory dependent effects involved in potential smokers, mild smokers, regular smokers, and quit smokers.
Mubashir Qayyum, Aneeqa Bilal, Abdou Al Zubaidi, Syed Tauseef Saeed, Gilbert Chambashi, Pramita Mishra   +5 more
wiley   +1 more source

An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform

Abstract and Applied Analysis, 2013
An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM).
Devendra Kumar, Jagdev Singh, A. Kılıçman   +2 more
doaj   +1 more source

A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley   +1 more source

Trans‐Oceanic Distributed Sensing of Tides Over Telecommunication Cable Between Portugal and Brazil

Geophysical Research Letters, Volume 52, Issue 12, 28 June 2025.
Abstract Geophysical sensing in the open ocean is both costly and technically challenging. Here we developed a novel distributed fiber optic sensing technique that employs microwave modulation for phase measurement in signals returned from submarine repeaters.
Meichen Liu, Luis Costa, Pierre Mertz, Siddharth Varughese, Sumudu Edirisinghe, Valey Kamalov, Zhongwen Zhan   +6 more
wiley   +1 more source

Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method

Nonlinear Engineering, 2014
The aim of the present paper is to present analytical solution of fractional differential equations. The fractional derivative is considered in Caputo sense. The results are derived by the application of Sumudu transform in term of Mittag-Leffler
Choudhary Anupama, Kumar Devendra, Singh Jagdev   +2 more
doaj   +1 more source

A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations. By applying the Sumudu transform, we derive solutions for the fractional differential equations and fractional kinetic equations expressed in terms of Prabhakar’s Mittag ...
B. B. Jaimini, Meenu, Suman Sharma, S. D. Purohit, D. L. Suthar, Deepali   +5 more
wiley   +1 more source

The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method

Abstract and Applied Analysis, 2013
We introduce the rudiments of fractional calculus and the consequent applications of the Sumudu transform on fractional derivatives. Once this connection is firmly established in the general setting, we turn to the application of the Sumudu transform ...
Hasan Bulut, Haci Mehmet Baskonus, Fethi Bin Muhammad Belgacem   +2 more
doaj   +1 more source