Results 21 to 30 of about 2,012 (99)
An estimate of Sumudu transforms for Boehmians [PDF]
, 2013 The space of Boehmians is constructed using an algebraic approach that utilizes convolution and approximate identities or delta sequences. A proper subspace can be identified with the space of distributions.
Kilicman, Adem +3 more
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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 +3 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam +3 more
wiley +1 more source
q-Sumudu transforms pertaining to the product of family of q-polynomials and generalized basic hypergeometric functions [PDF]
, 2019 The prime objective of commenced article is to determine q-Sumudu transforms of a product of unified family of q-polynomials with basic (or q-) analog of Fox’s H-function and q-analog of I-functions.
Al –Jarrah, Ali A. +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2 + 1)–dimensional singular pseudoparabolic equations in both linear and nonlinear forms. The work begins by outlining the fundamental definitions, theorems, and characteristics of the single ARA and ...
Rania Saadeh +4 more
wiley +1 more source
A Reliable Decomposition Method for Fractional‐Order Fokker–Planck Equation
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study analytically investigates the fractional Fokker–Planck equations (F‐FPEs) by employing the Sumudu decomposition method (SDM). This method combines the strengths of the Sumudu transform and the Adomian decomposition method (ADM) to effectively handle the nonlocality and memory characteristics inherent in governing fractional differential ...
Mona Alsulami +2 more
wiley +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.The objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n + 1‐dimensional fractional pseudo‐hyperbolic equations via the use of the multi‐Sumudu and generalized Laplace transforms combined with the decomposition method.
Hassan Eltayeb +2 more
wiley +1 more source
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 +5 more
wiley +1 more source
Certain inversion and representation formulas for q-sumudu transforms [PDF]
, 2014 In the present paper, we explore the formal properties of the q-Sumudu transforms to derive a number of inversion and representation formulas.
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