Investigation of a new coupled system of fractional differential equations in frame of Hilfer-Hadamard

zbMATH Open1540.34009MaRDI QIDQ6558440

Ali Abd Alaziz Najem Al-Sudani, Ibrahem Abdulrasool Hammood Al-Nuh

Publication date: 19 June 2024

Published in: Nonlinear Functional Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundary conditionsfixed point theoremsfractional differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Cites Work

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• On recent developments in the theory of boundary value problems for impulsive fractional differential equations
• On a differential equation involving Hilfer-Hadamard fractional derivative
• Existence of solutions for fractional anti-periodic BVP
• On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
• Existence of multiple positive solutions for \(m\)-point fractional boundary value problems on an infinite interval
• On Caputo modification of the Hadamard fractional derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A study of fractional-order coupled systems with a new concept of coupled non-separated boundary conditions
• Implicit coupled Hilfer-Hadamard fractional differential systems under weak topologies
• Existence and uniqueness of solutions for system of Hilfer-Hadamard sequential fractional differential equations with two point boundary conditions
• Well-posedness and stability for a differential problem with Hilfer-Hadamard fractional derivative
• On Cauchy problems with Caputo Hadamard fractional derivatives
• Advances in Fractional Calculus

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