On the boundary value problem for functional differential inclusion of fractional order with general initial condition in a Banach space

DOI10.3103/S1066369X19090019zbMath1446.34096OpenAlexW2987726171WikidataQ126812814 ScholiaQ126812814MaRDI QIDQ2191545

G. G. Petrosyan, M. S. Afanasova

Publication date: 25 June 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19090019

zbMATH Keywords

fixed pointdifferential inclusionmeasure of noncompactnessfractional derivativecondensing multimapping

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09)

Related Items (10)

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 a boundary value problem for Hale type fractional functional-differential inclusions with causal multioperators in a Banach space ⋮ On antiperiodic boundary value problem for semilinear fractional differential inclusion with deviating argument in Banach space ⋮ Antiperiodic boundary value problem for a semilinear differential equation of fractional order ⋮ An existence result for a periodic boundary value problem of fractional semilinear differential equations in a Banach space ⋮ On bounded solutions of semilinear fractional order differential inclusions in Hilbert spaces ⋮ On adjoint operators for fractional differentiation operators ⋮ On the existence of a solution for a periodic boundary value problem for semilinear fractional-order differential inclusions in Banach spaces

Cites Work

• On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On boundary value problems for degenerate differential inclusions in Banach spaces
• Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion
• Special Issue: Scattering and Inverse Scattering Problems
• On semilinear fractional order differential inclusions in Banach spaces
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