On impulsive fractional differential inclusions with a nonconvex-valued multimap in Banach spaces

DOI10.1134/s1995080224601231MaRDI QIDQ6634956

Valerii V. Obukhovskij, Garik Petrosyan, M. S. Soroka

Publication date: 8 November 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

fixed point Cauchy problem measure of noncompactness Caputo fractional derivative multivalued map condensing map impulsive differential inclusion almost lower semicontinuous multioperator

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Evolution inclusions (34G25) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
On generalized boundary value problems for a class of fractional differential inclusions
On the new concept of solutions and existence results for impulsive fractional evolution equations
Antiperiodic boundary value problem for a semilinear differential equation of fractional order
Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems
On semilinear fractional order differential inclusions in Banach spaces
Existence and uniqueness of solutions for a nonlinear fractional initial value problem involving Caputo derivatives
On a class of fractional order differential inclusions with infinite delays
On adjoint operators for fractional differentiation operators
On a generalized boundary value problem for a feedback control system with infinite delay
On a boundary value problem for a class of fractional Langevin type differential equations in a Banach space
On semilinear fractional differential inclusions with a nonconvex-valued right-hand side in Banach spaces
On antiperiodic boundary value problem for semilinear fractional differential inclusion with deviating argument in Banach space
Multivalued Maps and Differential Inclusions
Existence of solution to a periodic boundary value problem for a nonlinear impulsive fractional differential equation

This page was built for publication: On impulsive fractional differential inclusions with a nonconvex-valued multimap in Banach spaces