Measure of noncompactness on weighted Sobolev space with an application to some nonlinear convolution type integral equations

DOI10.1007/s11784-020-00809-1OpenAlexW3049148430MaRDI QIDQ2195620

Hojjatollah Amiri Kayvanloo, Farzaneh Pouladi Najafabadi, Juan. J. Nieto

Publication date: 27 August 2020

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-020-00809-1

zbMATH Keywords

weighted Sobolev spacesmeasures of noncompactnessDarbo's fixed point theoremconvolution differential equationsCarathëodory condition

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (5)

The explicit solutions for a class of fractional Fourier–Laplace convolution equations ⋮ Solvability of some fractional differential equations in the Hölder space \(\mathcal{H}_{\gamma}(\mathbb{R_+})\) and their numerical treatment via measures of noncompactness ⋮ 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 ⋮ An existence result with numerical solution of nonlinear fractional integral equations ⋮ On measure of noncompactness in Lebesgue and Sobolev spaces with an application to the functional integro-differential equation

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