Study of nonlocal boundary value problems for hybrid differential equations involving \(\psi \)-Caputo fractional derivative with measures of noncompactness

DOI10.1007/s10958-023-06582-zOpenAlexW4386851909MaRDI QIDQ6187856

Najat Chefnaj, Said Melliani, Khalid Hilal, Abdellah Taqbibt

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06582-z

zbMATH Keywords

measure of noncompactnessboundary value problemDarbo fixed point theorem\( \psi \)-Caputo fractional derivative

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Hybrid systems of ordinary differential equations (34A38)

Related Items (1)

Impulsive \(\Psi \)-Caputo hybrid fractional differential equations with non-local conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Some generalizations of Darbo's theorem and applications to fractional integral equations
• Basic results on hybrid differential equations
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Nonlocal and multiple-point boundary value problem for fractional differential equations
• On a class of measures of noncompactness in Banach algebras and their application to nonlinear integral equations
• Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations
• Boundary value problems for hybrid differential equations with fractional order
• Attractivity for fractional differential equations in Banach space
• Attractivity for fractional evolution equations with almost sectorial operators
• The existence of solutions for boundary value problem of fractional hybrid differential equations
• A Caputo fractional derivative of a function with respect to another function
• The finite-time blow-up for semilinear fractional diffusion equations with time \(\psi\)-Caputo derivative
• Existence of nonoscillatory solutions for fractional neutral differential equations
• Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
• About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation
• Stability and \(\psi\)-algebraic decay of the solution to \(\psi\)-fractional differential system

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