Solvability of infinite systems of fractional differential equations in the spaces of tempered sequences

DOI10.2298/FIL1917519DzbMath1499.45023OpenAlexW3006880993MaRDI QIDQ5864275

Anupam Das, Bipan Hazarika, Hemant Kumar Nashine, Ravi P. Agarwal

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1917519d

zbMATH Keywords

Hausdorff measure of noncompactnessMeir-Keeler fixed point theoreminfinite systems of fractional differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (10)

Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations ⋮ Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences ⋮ Iterative algorithm and theoretical treatment of existence of solution for \((k, z)\)-Riemann-Liouville fractional integral equations ⋮ On solution of generalized proportional fractional integral via a new fixed point theorem ⋮ Extension of Darbo’s fixed point theorem via shifting distance functions and its application ⋮ Positive solutions for singular semipositone nonlinear fractional differential system ⋮ A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations ⋮ Existence of solutions for an infinite system of tempered fractional order boundary value problems in the spaces of tempered sequences ⋮ Unnamed Item ⋮ Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space

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