Results 81 to 90 of about 3,197,328 (188)

On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

Exact Solutions and Convergence Analysis of Linear Fractional Integro‐Differential Equations With Caputo Derivatives

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Modeling systems with memory and nonlocal effects is significantly influenced by fractional integro‐differential equations; however, precise analytical solutions are still hard to find. This article establishes a consistent deductive mathematical framework for the emergence of closed‐form solutions to linear fractional Fredholm and Volterra integro ...
Khadija Tul Kubra, Muhammad Aqib, Samra Gulshan, Rooh Ali, Hami Gündoğdu, Smritijit Sen   +5 more
wiley   +1 more source

Coupled Fractional Volterra Integral Equations With Fuzzy Operators in ∗‐Fuzzy Measure Spaces: Stability Analysis and Hamacher ∗‐Fuzzy Numerical Approximation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we study a coupled system of fractional Volterra integral equations in the ∗‐fuzzy measure spaces that are equipped with an Archimedean triangular norm and a ∗‐fuzzy integral. Setting a Lipschitz condition on the nonlinear kernels, defining a suitable ∗‐fuzzy control function, and applying the alternative fixed‐point method, we obtain ...
Mahdis Yazdani Gharehaghaj, Reza Saadati, Mohammad Bagher Ghaemi, Smritijit Sen   +3 more
wiley   +1 more source

Numerical Solution of Nonlinear Volterra-Fredholm Integral Equations Using Haar Wavelet Collocation Method

, 2017
In this paper, we present a numerical solution of nonlinear Volterra-Fredholm integral equations using Haar wavelet collocation method. Properties of Haar wavelet and its operational matrices are utilized to convert the integral equation into a system of
R.A. Mundewadi, S.C. Shiralashetti
core   +1 more source

Laplace Adomian Decomposition Method to the Bagley–Torvik Fractional Differential Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents an analytical solution framework for the Bagley–Torvik equation, a canonical fractional differential model central to the study of viscoelastic damping. We employ the Laplace Adomian Decomposition Method (LADM) within the framework of the Caputo fractional derivative to derive accurate approximate solutions for three distinct ...
Pratibha Manohar, Lata Chanchlani, Vikram Kumar, D. L. Suthar, Smritijit Sen   +4 more
wiley   +1 more source

An Analytical Study of Variable‐Coefficient Boundary Value Problems With Generalized Tempered Fractional Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate a class of nonlinear tempered fractional boundary value problems (BVPs) with a generalized Caputo‐type derivative with respect to a kernel function. The problem includes variable coefficients, a nonlinear term depending on lower‐order derivatives, a tempered fractional integral term, and a nonlocal multipoint integral ...
Jabr Aljedani, Smritijit Sen
wiley   +1 more source

A double inverse problem for Fredholm integro-differential equation of elliptic type

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
doaj   +1 more source

A modified homotopy perturbation method for solving the nonlinear mixed Volterra–Fredholm integral equation

Journal of Computational and Applied Mathematics, 2013
The purpose of this paper is to obtain the approximation solution of the strongly nonlinear mixed Volterra-Fredholm integral equation (VFIE). For some strongly nonlinear problems, the traditional homotopy perturbation method is divergent, so we propose a modified homotopy perturbation method which is still convergent when solving the strongly nonlinear
Chunhuan Dong, Zhong Chen 0008, Wei Jiang 0012   +2 more
openaire   +1 more source

A computational method based on hybrid of block-pulse functions and Taylor series for solving two-dimensional nonlinear integral equations

Alexandria Engineering Journal, 2014
In this paper, a new reliable technique, which is based on hybrid functions approximation, is introduced for the approximate solutions of two-dimensional nonlinear Fredholm and Volterra integral equations. The properties of block-pulse functions together
Farshid Mirzaee, Ali Akbar Hoseini
doaj   +1 more source

On Volterra and Fredholm Type Integrodierential Equations

, 2016
[[abstract]]This paper deals with the existence, uniqueness and other properties of the solutions of certain Volterra and Fredholm type integrodierential equations.
B. G Pachpatte
core