Antiperiodic boundary value problem for a semilinear differential equation of fractional order

DOI10.26516/1997-7670.2020.34.51zbMath1464.34023OpenAlexW3110688260MaRDI QIDQ2228429

G. G. Petrosyan

Publication date: 17 February 2021

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1359

zbMATH Keywords

fixed pointmeasure of noncompactnessboundary value problemCaputo fractional derivativecondensing mappingsemilinear differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Mittag-Leffler functions and generalizations (33E12) Green's functions for ordinary differential equations (34B27) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (4)

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 topological properties of solution sets of semilinear fractional differential inclusions with non-convex right-hand side

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
• On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces
• Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Lacunary interpolation by antiperiodic trigonometric polynomials
• Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory
• On the boundary value problem for functional differential inclusion of fractional order with general initial condition in a Banach space
• Anti-periodic solutions for fully nonlinear first-order differential equations
• On semilinear fractional order differential inclusions in Banach spaces
• Multivalued Maps and Differential Inclusions
• Mittag-Leffler Functions, Related Topics and Applications

This page was built for publication: Antiperiodic boundary value problem for a semilinear differential equation of fractional order