Mild solutions for impulsive fractional differential inclusions with Hilfer derivative in Banach spaces

DOI10.1007/s12215-023-00944-xMaRDI QIDQ6123456

Abdelkrim Salim, Mouffak Benchohra, Ibtissem Hammoumi, Hadda Hammouche

Publication date: 4 March 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

differential inclusionsimpulsesfixed pointBanach spacefractional calculusHilfer derivativemultivalued jump

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09)

Cites Work

• Ulam's type stability of impulsive ordinary differential equations
• The existence of mild solutions for impulsive fractional partial differential equations
• On fractional integro-differential equations with state-dependent delay
• Semigroups of linear operators and applications to partial differential equations
• Parameter identification in classes of neutral differential equations with state-dependent delays
• Caputo-Fabrizio fractional differential equations with non instantaneous impulses
• Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative
• Existence of mild solutions for a class of impulsive Hilfer fractional coupled systems
• Almost automorphic mild solutions to fractional differential equations
• Boundary value problem for nonlinear implicit generalized Hilfer-type fractional differential equations with impulses
• Dynamical analysis of two fractional-order SIQRA malware propagation models and their discretizations
• Impulsive Differential Inclusions
• Periodic solutions and stability of linear evolution equations with noninstantaneous impulses
• Fractional Signals and Systems
• A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability
• Fractional Differential Equations and Inclusions
• Set-valued analysis
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