Results 71 to 80 of about 541 (198)
Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform
Abstract and Applied Analysis, 2013 A user friendly algorithm based on new homotopy perturbation Sumudu transform method (HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional derivative is considered in the Caputo sense. Further, the same problem is solved
Jagdev Singh +2 more
doaj +1 more source
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani +4 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
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 +2 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav +4 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study addresses the critical public health challenge posed by the Zika virus (ZIKV), a pathogen with complex multiroute transmission dynamics. We develop a novel discrete fractional‐order mathematical model to accurately capture the intrapopulation spread of ZIKV, enhancing traditional models by incorporating memory effects and long‐range ...
A. El-Mesady +5 more
wiley +1 more source
Iraqi Journal of PhysicsIn this study, one-dimensional non-linear Klein-Gordon equations are solved by applying the integral transform known as the Rohit transform method. The approximate solutions of one-dimensional non-linear Klein- Gordon equations are obtained by combining
Rohit Gupta, Rahul Gupta
doaj +1 more source
Comparing chebyshev polynomials and adomian decomposition method in solving nonlinear volterra integral equations of second kind [PDF]
, 2014 The nonlinear integral equations are usually difficult to solve analytically and in many cases, it is required to obtain the approximate solutions. The nonlinear Volterra integral equation of second kind is one of them.
Mohamad Sapawi, Siti Aminah
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.The Hirota–Maccari (HM) system is a fundamental model in wave propagation that has been widely utilized to investigate complex nonlinear phenomena in nonlinear optics, optical communications, and mathematical physics. The HM system sheds light on critical insights into soliton dynamics, wave interactions, and other nonlinear effects.
Fei Li +4 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