Solvability of fractional dynamic systems utilizing measure of noncompactness

DOI10.15388/namc.2020.25.17896zbMath1452.34013OpenAlexW3039772264MaRDI QIDQ5124296

Rabha W. Ibrahim, Reza Arab, Mohsen Rabbani, Hemant Kumar Nashine

Publication date: 18 September 2020

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2020.25.17896

zbMATH Keywords

measure of noncompactnessfractional calculusfixed point theoremfractional differential operator

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

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Iterative algorithm and theoretical treatment of existence of solution for \((k, z)\)-Riemann-Liouville fractional integral equations ⋮ Measures of noncompactness in the space of regulated functions \(R (J, \mathbb{R}^{\infty})\) and its application to some nonlinear Infinite systems of fractional differential equations ⋮ Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness ⋮ Analytic normalized solutions of 2D fractional Saint-Venant equations of a complex variable

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