Coupled Hilfer and Hadamard random fractional differential systems with finite delay in generalized Banach spaces

DOI10.7153/dea-2020-12-22zbMath1488.34417OpenAlexW3107936692MaRDI QIDQ5858091

Nassir Al Arifi, Saïd Abbas, Johnny Henderson, Mouffak Benchohra

Publication date: 9 April 2021

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2020-12-22

zbMATH Keywords

delaycoupled systemrandom fixed pointfractional differential equationgeneralized Banach spaceHadamard fractional derivativeleft-sided mixed Riemann-Liouville integral of fractional orderHilfer fractional derivativeHilfer-Hadamard fractional derivativeleft-sided mixed Hadamard integral of fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)

Related Items (4)

On some coupled systems of fractional differential inclusions ⋮ Unnamed Item ⋮ Qualitative behaviour of a Caputo fractional differential system ⋮ Successive approximations for random coupled Hilfer fractional differential systems

Cites Work

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• Random fixed point theorem in generalized Banach space and applications
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Topics in fractional differential equations
• On a differential equation involving Hilfer-Hadamard fractional derivative
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• A general stochastic fixed-point theorem for continuous random operators on stochastic domains
• Random fixed point theorems with an application to random differential equations in Banach spaces
• Multivalued perturbations of \(m\)-accretive differential inclusions
• A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
• Coupled Hilfer fractional differential systems with random effects
• Ulam-Hyers-Mittag-Leffler stability for \(\psi\)-Hilfer fractional-order delay differential equations
• Well-posedness and stability for a differential problem with Hilfer-Hadamard fractional derivative
• Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
• On fractional Cauchy-type problems containing Hilfer's derivative
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• Implicit Fractional Differential and Integral Equations
• Krasnoselskii's theorem in generalized Banach spaces and application
• Numerical Linear Algebra

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