Results 31 to 40 of about 2,012 (99)
On ℬ‐Analog of the Sumudu Transform Associated With the General Quantum ℬ‐Difference Operator
Journal of Mathematics, Volume 2026, Issue 1, 2026.We present here a B‐analog of the Sumudu transform defined via a general quantum B‐difference operator which generalizes classical difference operators in the context of quantum calculus, is employed to study the proposed problem. We explore the core characteristics of the B‐Sumudu transform and illustrate its applications in solving B‐initial value ...
Karima M. Oraby +2 more
wiley +1 more source
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 +3 more
wiley +1 more source
A note on the comparison between laplace and Sumudu transforms. [PDF]
, 2011 In this paper, we discuss the existence of double Sumudu transform and study relationships between Laplace and Sumudu transforms. Further, we apply two transforms to solve linear ordinary differential equations with constant coefficients and non constant
Eltayeb, Hassan +2 more
core
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 +5 more
wiley +1 more source
Application of Adomian Decomposition Method for Sumudu Transform [PDF]
, 2008 In this paper, Adomian decomposition method (ADM) is employed to compute Sumudu transform of some typical functions. In this method, the solution is found in the form of a convergent power series with easily computed components.
Waqar A. Khan, Rahim Gul, Zafar H. Khan
core +2 more sources
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
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 +5 more
wiley +1 more source
A NOTE ON THE COMPARISON BETWEEN LAPLACE AND SUMUDU TRANSFORMS Communicated by Mohammad Asadzadeh [PDF]
, 2011 . In this paper, we discuss the existence of double Sumudu transform and study relationships between Laplace and Sumudu transforms. Further, we apply two transforms to solve linear ordinary differential equations with constant coefficients and non ...
H Eltayeb, K A M Atan, A Kiliç Man
core
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 +3 more
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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 +4 more
wiley +1 more source