Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method
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DOI: 10.1002/mma.10017
Abstract: This study introduces a new numerical approach named flatlet oblique multiwavelets (FOMW) to solve fractional‐order stochastic integro‐differential equation (FSI‐DE). The FOMW is used to create an operational matrix of the stochastic integral, which helps transform… read more here.
Keywords: differential equation; solve fractional; stochastic integro; integro differential ... See more keywords
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling
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DOI: 10.1002/mma.10900
Abstract: Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend… read more here.
Keywords: estimates solutions; differential equations; equations epidemiological; integro differential ... See more keywords
On a Coupled System of ψ‐Liouville–Caputo‐Type Fractional Nonlinear Volterra–Fredholm Integro‐Differential Equations With Nonlocal Nonseparated Boundary Conditions
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DOI: 10.1002/mma.11082
Abstract: In this paper, we discuss the existence and uniqueness of solutions for a coupled system of nonlinear generalized Liouville–Caputo fractional Volterra–Fredholm integro‐differential equations with nonlocal nonseparated boundary conditions. The new results are obtained by Krasnosel'skii's,… read more here.
Keywords: differential equations; coupled system; integro differential; fredholm integro ... See more keywords
A fast numerical algorithm based on the Taylor wavelets for solving the fractional integro‐differential equations with weakly singular kernels
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DOI: 10.1002/mma.5663
Abstract: In this paper, a fast numerical algorithm based on the Taylor wavelets is proposed for finding the numerical solutions of the fractional integro‐differential equations with weakly singular kernels. The properties of Taylor wavelets are given,… read more here.
Keywords: taylor wavelets; numerical algorithm; algorithm based; fast numerical ... See more keywords
Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions
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DOI: 10.1002/mma.5845
Abstract: In this paper, we established some results concerning the existence and uniqueness of a nonlinear Volterra‐Fredholm integro‐differential equation of Caputo fractional order subject to the boundary value conditions. These new results are obtained by applying… read more here.
Keywords: existence uniqueness; volterra fredholm; integro differential; differential equation ... See more keywords
Existence of solutions for some non‐Fredholm integro‐differential equations with the bi‐Laplacian
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DOI: 10.1002/mma.6721
Abstract: We prove the existence of solutions for some semilinear elliptic equations in the appropriate H4 spaces using the fixed‐point technique where the elliptic equation contains fourth‐order differential operators with and without Fredholm property, generalizing the… read more here.
Keywords: solutions non; integro differential; non fredholm; fredholm integro ... See more keywords
A Least Squares Polynomial‐Based Partition of Unity Method for Tempered‐Type Integro‐Differential Equations
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DOI: 10.1002/mma.70278
Abstract: This paper introduces a novel meshless method based on polynomials for solving a class of integro‐differential equations with tempered fractional singular kernels. Our method employs a least‐squares partition of unity framework based on local polynomial… read more here.
Keywords: differential equations; method; least squares; integro differential ... See more keywords
Approximate controllability of nonlocal impulsive neutral integro‐differential equations with finite delay
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DOI: 10.1002/mma.7753
Abstract: In this paper, we apply the resolvent operator theory and an approximating technique to derive the existence and controllability results for nonlocal impulsive neutral integro‐differential equations with finite delay in a Hilbert space. To establish… read more here.
Keywords: nonlocal impulsive; impulsive neutral; equations finite; integro differential ... See more keywords
On the Ulam stabilities of nonlinear integral equations and integro‐differential equations
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DOI: 10.1002/mma.9800
Abstract: In this research, two systems of nonlinear Volterra integral equation and Volterra integro‐differential equation were considered. New results in sense of Ulam stabilities in relation to these two systems were proved on a finite interval.… read more here.
Keywords: integral equations; equations integro; integro differential; nonlinear integral ... See more keywords
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations
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DOI: 10.1002/mma.9826
Abstract: In this study, the Atangana–Baleanu fractional derivative in the Caputo type (as a kind of non‐local and non‐singular derivative) is used to define a new class of stochastic fractional integro‐differential equations. A projection method (more… read more here.
Keywords: differential equations; method; based piecewise; integro differential ... See more keywords
Solvability and Stability for Neutral Stochastic Integro-differential Equations Driven by Fractional Brownian Motion with Impulses
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DOI: 10.1007/s00009-018-1253-2
Abstract: The paper is devoted to the existence, uniqueness and asymptotic behaviors of mild solution to neutral impulsive stochastic integro-differential equations driven by fractional Brownian motion with $$H\in (\frac{1}{2},1)$$H∈(12,1) by the theory of resolvent operator and… read more here.
Keywords: integro differential; fractional brownian; driven fractional; equations driven ... See more keywords