Solvability of implicit fractional order integral equation in \(\ell_p\) (\(1 \leq p < \infty\)) space via generalized Darbo's fixed point theorem

DOI10.1155/2022/1674243zbMath1491.45018OpenAlexW4280637848MaRDI QIDQ2672465

Yanyan Li

Publication date: 10 June 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/1674243

zbMATH Keywords

measure of noncompactnessDarbo's fixed point theorem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Abstract integral equations, integral equations in abstract spaces (45N05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (6)

Solvability of an infinite system of Langevin fractional differential equations in a new tempered sequence space ⋮ Solvability of an infinite system of fractional differential equations with \(p\)-Laplacian operator in a new tempered sequence space ⋮ Solution of Hammerstein type integral equation with two variables via a new fixed point theorem ⋮ A generalized Darbo's fixed point theorem and its applications to different types of hybrid differential equations ⋮ New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations ⋮ Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space

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