On a fractional differential inclusion with ``maxima

DOI10.1515/fca-2016-0067zbMath1355.34114OpenAlexW2556143920MaRDI QIDQ2374142

Aurelian Cernea

Publication date: 14 December 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2016-0067

zbMATH Keywords

fixed pointboundary value problemCaputo fractional derivativefractional differential inclusioncontractive set-valued map

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09)

Related Items (3)

On a Sturm-Liouville type differential inclusion of fractional order ⋮ A study of fractional differential equations and inclusions with nonlocal Erdélyi-Kober type integral boundary conditions ⋮ Unnamed Item

Cites Work

• Extremal solutions for certain type of fractional differential equations with maxima
• Multiplicity of nontrivial solutions for boundary value problem for impulsive fractional differential inclusions via nonsmooth critical point theory
• Convex analysis and measurable multifunctions
• On solvability of some boundary value problems for differential equations with ``maxima
• Henry-Gronwall integral inequalities with ``maxima and their applications to fractional differential equations
• Filippov lemma for a class of Hadamard-type fractional differential inclusions
• New stability results for partial fractional differential inclusions with not instantaneous impulses
• Nonlocal fractional boundary value problems with slit-strips boundary conditions
• Fractional differential inclusions in the Almgren sense
• On a fractional differential inclusion with integral boundary conditions in Banach space
• Some new existence results for fractional differential inclusions with boundary conditions
• Convergent solutions of certain nonlinear differential equations with maxima
• Multi-valued contraction mappings in generalized metric spaces
• Fractional differential inclusions with fractional separated boundary conditions
• Extensions and selections of maps with decomposable values
• A note on the existence of solutions for some boundary value problems of fractional differential inclusions
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