Existence of solutions for some classes of integro-differential equations in the Sobolev space \(W^{n,p}(\mathbb {R}_+)\)
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Publication:1615291
DOI10.1007/s11784-018-0574-xOpenAlexW2806952389MaRDI QIDQ1615291
Mohsen Erfanian Omidvar, Reza Allahyari, Mohsen Hossein Zadeh Moghaddam, Ali Shole Haghighi
Publication date: 30 October 2018
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-018-0574-x
integro-differential equationsSobolev spacesmeasures of noncompactnessDarbo's fixed point theoremCarathéodory condition
Integro-ordinary differential equations (45J05) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
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Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness, Measure of noncompactness on weighted Sobolev space with an application to some nonlinear convolution type integral equations, A family of measures of noncompactness in the Hölder space \(C^{n, \gamma}(\mathbb{R}_+)\) and its application to some fractional differential equations and numerical methods
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