\(L^p\)-solutions for fractional integral equations

DOI10.2478/S13540-014-0166-4zbMath1312.45003OpenAlexW2019212659MaRDI QIDQ2347406

Sadia Arshad, Vasile Lupulescu, Donal O'Regan

Publication date: 27 May 2015

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

Full work available at URL: https://doi.org/10.2478/s13540-014-0166-4

zbMATH Keywords

measure of noncompactnessexistence and uniqueness resultsfractional integral equations\(L^p\)-solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Volterra integral equations (45D05) Fractional partial differential equations (35R11) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (6)

Boundary value problem of Riemann-Liouville fractional differential equations in the variable exponent Lebesgue spaces \(L^{p(.)}\) ⋮ On the attractivity of solutions for a class of multi-term fractional functional differential equations ⋮ On a multipoint fractional boundary value problem in a fractional Sobolev space ⋮ Analytical approaches on the attractivity of solutions for multiterm fractional functional evolution equations ⋮ Existence results for hybrid fractional neutral differential equations ⋮ Asymptotic behavior of solutions of nonlinear fractional differential equations with Caputo-type Hadamard derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^p\)-solutions of singular integro-differential equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fuzzy fractional integral equations under compactness type condition
• Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness
• Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces
• An abstract Gronwall lemma and applications to global existence results for functional differential and integral equations of fractional order
• On $L_p$-solutions of $n$th order nonlinear differential equation

This page was built for publication: \(L^p\)-solutions for fractional integral equations