Multiple positive solutions of boundary value problems for fractional order integro-differential equations in a Banach space

DOI10.1186/1687-2770-2013-79zbMath1293.26011OpenAlexW2129382256WikidataQ59301676 ScholiaQ59301676MaRDI QIDQ2017349

Chunhai Kou, Ran Jin, Rui-Juan Liu

Publication date: 25 June 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-79

zbMATH Keywords

measure of noncompactnessboundary value problemfixed point indexintegro-differential equationfractional order

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (3)

Monotonicity and symmetry of solutions to fractional Laplacian in strips ⋮ Global existence and blow-up of solutions to a parabolic nonlocal equation arising in a theory of thermal explosion ⋮ Existence of solutions for a periodic boundary value problem with impulse and fractional derivative dependence

Cites Work

• Basic theory of fractional differential equations
• Theory of fractional functional differential equations
• Approximation of solutions to fractional integral equation
• Integral equations and initial value problems for nonlinear differential equations of fractional order
• Existence-uniqueness result for a nonlinear \(n\)-term fractional equation
• Fractional order differential equations on an unbounded domain
• On the fractional differential equations
• Existence and uniqueness for a nonlinear fractional differential equation
• Existence of positive solutions of nonlinear fractional differential equations
• On the functional integral equations of mixed type and integro-differential equations of fractional orders
• Differential equations of fractional order:methods results and problem —I
• Differential Equations of Fractional Order: Methods, Results and Problems. II

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