Abstract Volterra integrodifferential equations with applications to parabolic models with memory
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DOI: 10.1007/s00208-016-1469-z
Abstract: In this paper we are concerned with local existence, regularity and continuous dependence upon the initial data of $$\epsilon $$ϵ-regular mild solutions for the abstract integrodifferential equation (1, 2). We also present a result on… read more here.
Keywords: applications parabolic; abstract volterra; integrodifferential equations; volterra integrodifferential ... See more keywords
Numerical solution of integrodifferential equations with convolution integrals
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DOI: 10.1007/s00419-019-01557-6
Abstract: A numerical solution is presented for the solution of integrodifferential equations involving convolution integrals. These equations can be viewed as a generalization of the fractional differential equations, where the convolution integral represents the fractional derivative.… read more here.
Keywords: integrodifferential equations; solution integrodifferential; convolution integrals; equation ... See more keywords
On the Unique Solvability of the Boundary-Value Problems for Fredholm Integrodifferential Equations with Degenerate Kernel
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DOI: 10.1007/s10958-016-3194-2
Abstract: We study a linear boundary-value problem for systems of Fredholm integrodifferential equations with degenerate kernels and present the definition of ν-regular partition of the interval. The coefficient necessary and sufficient conditions for the unique solvability… read more here.
Keywords: integrodifferential equations; unique solvability; boundary value; fredholm integrodifferential ... See more keywords
The existence and Ulam–Hyers stability results for $$\psi $$-Hilfer fractional integrodifferential equations
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DOI: 10.1007/s11868-020-00355-x
Abstract: We establish sufficient conditions for the existence and uniqueness of solutions for a class of nonlinear fractional integrodifferential equations with boundary conditions involving $$\psi $$ -Hilfer fractional derivative of order $$0 read more here.
Keywords: ulam hyers; hyers stability; integrodifferential equations; hilfer fractional ... See more keywords
Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions
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DOI: 10.1080/01630563.2019.1604547
Abstract: Abstract The aim of this work is to prove some results about the existence and regularity of solutions for some partial integrodifferential equations with nonlocal conditions. We suppose that the linear part has a resolvent… read more here.
Keywords: integrodifferential equations; nonlocal conditions; existence regularity; partial integrodifferential ... See more keywords
Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects
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DOI: 10.1186/s13662-018-1562-6
Abstract: In this paper, by employing the fractional power of operators, semigroup theory, and fixed point strategy we obtain some new criteria ensuring the existence and exponential stability of a class of impulsive neutral stochastic integrodifferential… read more here.
Keywords: exponential stability; fractional brownian; integrodifferential equations; neutral stochastic ... See more keywords
Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
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DOI: 10.1186/s13662-019-2463-z
Abstract: This paper is concerned with the semilinear fractional integrodifferential system with Riemann–Liouville fractional derivative. Firstly, we introduce the suitable C1−α$C_{1-\alpha }$-solution to Riemann–Liouville fractional integrodifferential equations in the new frame of fractional resolvents. Some properties… read more here.
Keywords: solutions riemann; liouville fractional; fractional resolvents; integrodifferential equations ... See more keywords
Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions
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DOI: 10.1186/s13662-020-2534-1
Abstract: This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given… read more here.
Keywords: boundary conditions; hyers stability; integrodifferential equations; riemann liouville ... See more keywords
Solvability of nondensely defined partial functional integrodifferential equations using the integrated resolvent operators
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DOI: 10.14232/ejqtde.2019.1.88
Abstract: In this work, we study the existence and regularity of solutions for a class of nondensely defined partial functional integrodifferential equations. We suppose that the undelayed part admits an integrated resolvent operator in the sense… read more here.
Keywords: partial functional; integrated resolvent; integrodifferential equations; nondensely defined ... See more keywords
Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions
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DOI: 10.1515/ijnsns-2019-0299
Abstract: Abstract In this paper, we examine a coupled system of fractional integrodifferential equations of Liouville-Caputo form with nonlinearities depending on the unknown functions, as well as their lower-order fractional derivatives and integrals supplemented with coupled… read more here.
Keywords: integrodifferential equations; liouville caputo; erd lyi; lyi kober ... See more keywords
Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types in hilbert space with error analysis
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DOI: 10.2298/fil1912845m
Abstract: In this article, we propose and analyze a computational method for the numerical solutions of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types. The method provide appropriate representation of the solutions in… read more here.
Keywords: type singular; time fractional; integrodifferential equations; mixed type ... See more keywords