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
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
Null controllability of nonlocal Hilfer fractional stochastic differential equations
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DOI: 10.18514/mmn.2017.2396
Abstract: In this paper, we study exact null controllability of Hilfer fractional semilinear stochastic differential equations in Hilbert spaces. By using fractional calculus and fixed point approach, sufficient conditions of exact null controllability for such fractional… read more here.
Keywords: stochastic differential; hilfer fractional; differential equations; controllability ... See more keywords
Radu-Miheţ Method for the Existence, Uniqueness, and Approximation of the ψ-Hilfer Fractional Equations by Matrix-Valued Fuzzy Controllers
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DOI: 10.3390/axioms10020063
Abstract: We apply the Radu–Miheţ method derived from an alternative fixed-point theorem with a class of matrix-valued fuzzy controllers to approximate a fractional Volterra integro-differential equation with the ψ-Hilfer fractional derivative in matrix-valued fuzzy k-normed spaces… read more here.
Keywords: valued fuzzy; matrix valued; mihe method; radu mihe ... See more keywords
Existence of Mild Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators
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DOI: 10.3390/axioms11040144
Abstract: In this paper, we obtain new sufficient conditions of the existence of mild solutions for Hilfer fractional evolution equations in the cases that the semigroup associated with an almost sectorial operator is compact as well… read more here.
Keywords: existence mild; hilfer fractional; evolution equations; solutions hilfer ... See more keywords
On (k, ψ)-Hilfer Fractional Differential Equations and Inclusions with Mixed (k, ψ)-Derivative and Integral Boundary Conditions
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DOI: 10.3390/axioms11080403
Abstract: In this paper we study single-valued and multi-valued (k,ψ)-Hilfer-type boundary value problems of fractional order in (1,2], subject to nonlocal boundary conditions involving (k,ψ)-Hilfer-type derivative and integral operators. The results for single-valued case are established… read more here.
Keywords: derivative integral; hilfer fractional; boundary conditions; fractional differential ... See more keywords
Existence of Attractive Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators
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DOI: 10.3390/sym14020392
Abstract: The purpose of this paper is to investigate the existence of attractive solutions for a Cauchy problem of fractional evolution equations with Hilfer fractional derivative, which is a generalization of both the Riemann–Liuoville and Caputo… read more here.
Keywords: existence attractive; attractive solutions; evolution equations; hilfer fractional ... See more keywords