Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operators theory
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Publication:2396331
DOI10.1515/fca-2017-0020zbMath1364.34008OpenAlexW2620717846MaRDI QIDQ2396331
Saïd Abbas, Adrian Petruşel, Mouffak Benchohra
Publication date: 8 June 2017
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2017-0020
Ulam-Hyers-Rassias stabilityfractional differential inclusionmultivalued weakly Picard operatorHilfer fractional derivativefixed point inclusionleft-sided Riemann-Liouville integral of fractional order
Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fractional ordinary differential equations (34A08)
Related Items (14)
Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions ⋮ Dynamics and stability for Katugampola random fractional differential equations ⋮ On global existence and Ulam-Hyers stability of $Psi-$Hilfer fractional integrodifferential equations ⋮ On some fractional differential inclusions with random parameters ⋮ Existence of mild solutions for nonlocal evolution equations with the Hilfer derivatives ⋮ Ulam stabilities of nonlinear iterative integro-differential equations ⋮ Stability theory to a coupled system of nonlinear fractional hybrid differential equations ⋮ Ulam Stability of Zero Point Equations ⋮ Attractivity for differential equations of fractional order and \(\psi\)-Hilfer type ⋮ A nonlinear fractional problem with mixed Volterra-Fredholm integro-differential equation: existence, uniqueness, H-U-R stability, and regularity of solutions ⋮ Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential ⋮ Attractivity for Hilfer fractional stochastic evolution equations ⋮ S-asymptotically \(\omega\)-periodic mild solutions and stability analysis of Hilfer fractional evolution equations ⋮ Caputo-Hadamard fractional differential equations in Banach spaces
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