Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces

DOI10.3934/math.2020002zbMath1484.34173OpenAlexW2981100653MaRDI QIDQ2132760

Johnny Henderson, Sara Litimein, Zohra Bouteffal, Mouffak Benchohra

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020002

zbMATH Keywords

fixed pointmeasure of noncompactnessmild solutionFréchet spacesolution operatorfractional integro-differential equationsstate-dependent nonlocal condition

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (7)

Solutions to fractional neutral delay differential nonlocal systems ⋮ Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory ⋮ Study of fractional integro‐differential equations under Caputo‐Fabrizio derivative ⋮ Attractivity for differential equations of fractional order and \(\psi\)-Hilfer type ⋮ Existence results for some integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces ⋮ Existence, uniqueness, and Mittag-Leffler-Ulam stability results for Cauchy problem involving \(\psi \)-Caputo derivative in Banach and Fréchet spaces ⋮ Implicit Fractional Differential Equation Involving $\psi$–Caputo with Boundary Conditions

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