Semilinear fractional evolution inclusion problem in the frame of a generalized Caputo operator

DOI10.1155/2021/8162890zbMath1484.34028OpenAlexW3207981576MaRDI QIDQ823643

Adel Lachouri, Fahd Jarad, Mohammed S. Abdo, Abdelouaheb Ardjouni

Publication date: 16 December 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/8162890

zbMATH Keywords

fixed point theoremgeneralized Caputo fractional differential inclusion

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items

Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the initial value problem of fractional evolution equations with noncompact semigroup
• Caputo-type modification of the Hadamard fractional derivatives
• Existence of mild solutions for fractional neutral evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Convex analysis and measurable multifunctions
• Recent applications of fractional calculus to science and engineering
• Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
• A Caputo fractional derivative of a function with respect to another function
• Existence uniqueness and stability of mild solutions for semilinear \(\psi\)-Caputo fractional evolution equations
• Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
• New results on Caputo fractional-order neutral differential inclusions without compactness
• Hilfer fractional differential inclusions with Erdélyi-Kober fractional integral boundary condition
• Generalized fractional derivatives and Laplace transform
• On the \(\psi\)-Hilfer fractional derivative
• The existence and Ulam-Hyers stability results for \(\psi\)-Hilfer fractional integrodifferential equations
• Existence of solution to Korteweg-de Vries equation in a non-parabolic domain
• Multi-valued contraction mappings in generalized metric spaces
• One-Parameter Semigroups for Linear Evolution Equations
• ON FRACTIONAL DIFFERENTIAL INCLUSION PROBLEMS INVOLVING FRACTIONAL ORDER DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION
• A New Approach to Generalized Fractional Derivatives
• Riesz potential, Marcinkiewicz integral and their commutators on mixed Morrey spaces