Iterative algorithm and theoretical treatment of existence of solution for \((k, z)\)-Riemann-Liouville fractional integral equations

DOI10.1007/S11868-022-00469-4zbMath1496.45005OpenAlexW4285728510WikidataQ114221586 ScholiaQ114221586MaRDI QIDQ2154560

Anupam Das, Bhuban Chandra Deuri, Mohsen Rabbani, Syed Abdul Mohiuddine

Publication date: 20 July 2022

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-022-00469-4

zbMATH Keywords

iterative algorithmmeasure of noncompactnessBanach spacecontinuous functionfractional integral equationmodified homotopy perturbationDarbo-type theorem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Banach sequence spaces (46B45) Systems of nonlinear integral equations (45G15) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (3)

Solution of Hammerstein type integral equation with two variables via a new fixed point theorem ⋮ Mild solutions of semilinear evolution equation and their applications in second‐order hyperbolic PDE ⋮ Unnamed Item

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