Approximate controllability results for Hilfer fractional neutral stochastic differential equations with finite delay and non‐dense domain
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DOI: 10.1002/asjc.3753
Abstract: In this work, we analyze a class of Hilfer fractional neutral stochastic differential equations with finite delay in a non‐dense domain. We establish existence and uniqueness results using analytical tools from fractional calculus, semigroup theory,… read more here.
Keywords: differential equations; fractional neutral; hilfer fractional; stochastic differential ... See more keywords
A Single and Multi‐Valued Problems Involving Mixed (k1,η)‐Hilfer and (k2,ϕ)‐Hilfer Fractional Derivatives for the Fractional Navier Problem
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DOI: 10.1002/mma.10993
Abstract: This paper investigates fractional differential equations and inclusions involving two distinct fractional derivatives, specifically the (k1,η)$$ \left({k}_1,\eta \right) $$ ‐Hilfer and (k2,ϕ)$$ \left({k}_2,\phi \right) $$ ‐Hilfer fractional derivatives, within the framework of the Navier boundary… read more here.
Keywords: hilfer fractional; problem single; fractional derivatives; hilfer ... See more keywords
Constructive Existence of Solutions of Multi-point Boundary Value Problem for Hilfer Fractional Differential Equation at Resonance
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DOI: 10.1007/s00009-020-01512-8
Abstract: In this paper, we study the constructive existence of solutions of multi-point boundary value problem for Hilfer fractional differential equation at resonance. The constructive existence of solutions is very important in practice, because it gives… read more here.
Keywords: value; value problem; fractional differential; hilfer fractional ... 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
On the Approximate Controllability for Hilfer Fractional Evolution Hemivariational Inequalities
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DOI: 10.1080/01630563.2018.1499667
Abstract: Abstract The paper is concerned with the approximate controllability of some Hilfer fractional evolution hemivariational inequalities. Using two classes of operators and their fundamental properties, we derive sufficient conditions for approximate controllability of linear and… read more here.
Keywords: evolution hemivariational; approximate controllability; hilfer fractional; fractional evolution ... See more keywords
An analysis on asymptotic stability of Hilfer fractional stochastic evolution equations with infinite delay
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DOI: 10.1080/02331934.2024.2306292
Abstract: This article deals with the existence and asymptotic stability in the p-th moment of a mild solution for Hilfer fractional stochastic delay differential equations in Hilbert spaces. Our main results are obtained by fractional calculus,… read more here.
Keywords: stability; fractional stochastic; hilfer fractional; analysis ... See more keywords
New discussion on the approximate controllability of Sobolev-type Hilfer fractional stochastic mixed Volterra-Fredholm integrodifferential inclusions of order 1 < μ < 2
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DOI: 10.1080/07362994.2024.2443290
Abstract: Abstract. The primary focus of this article is to explore the existence and controllability of a new class of Sobolev-type Hilfer fractional stochastic Volterra-Fredholm integrodifferential systems in Hilbert spaces. Our main findings are grounded in… read more here.
Keywords: type hilfer; fractional stochastic; hilfer fractional; volterra fredholm ... See more keywords
Sobolev Type Nonlinear (k, ψ) - Hilfer Fractional Differential Equations with Control : Approximate Controllability Exploration
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DOI: 10.1115/1.4066220
Abstract: This paper is concerned with the approximate controllability of Sobolev type (k, ψ) - Hilfer fractional differential equations with control and Sobolev type (k,ψ) - Hilfer fractional initial conditions in Hilbert spaces. By mean of… read more here.
Keywords: fractional differential; control; hilfer fractional; sobolev type ... See more keywords
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach
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DOI: 10.1186/s13661-024-01901-y
Abstract: In this paper, the coupled system of sequential ψ -Hilfer fractional boundary value problems with non-instantaneous impulses is investigated. The existence results of the system are proved by means of topological degree theory. An example… read more here.
Keywords: existence results; degree theory; topological degree; hilfer fractional ... See more keywords
Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations
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DOI: 10.1186/s13662-019-1997-4
Abstract: In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations. We use the Picard operator method and a generalized Gronwall inequality… read more here.
Keywords: hyers mittag; mittag leffler; ulam hyers; leffler stability ... See more keywords
Nonlinear integral inequalities involving Ψ -Hilfer fractional integrals and iterated fractional integrals, with applications to Ψ -Caputo fractional differential equations
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DOI: 10.14232/ejqtde.2025.1.30
Abstract: In this paper, modifications of the well-known desingularization method proposed by the first author are used to derive nonlinear versions of the Henry--Gronwall inequality for integral inequalities with the Ψ -Hilfer fractional integral, as well… read more here.
Keywords: caputo fractional; differential equations; hilfer fractional; integral inequalities ... See more keywords