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Analyze implicit fractional differential equations using the AB-Caputo fractional derivative

International Journal of Modeling, Simulation, and Scientific Computing
In this study, we explore the solutions of fractional differential equations (FDEs) involving the Atangana–Baleanu–Caputo derivative, subject to both integral and impulsive implicit boundary conditions. To establish the existence and uniqueness of solutions, we utilize the Banach Contraction Mapping Principle and Krasnoselskiis fixed point theorem. The
Abdulrahman A. Sharif   +2 more
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Block implicit Adams methods for fractional differential equations

Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T.A. Biala, S.N. Jator
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On Ulam’s Stability for a Coupled Systems of Nonlinear Implicit Fractional Differential Equations

Bulletin of the Malaysian Mathematical Sciences Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali, Zeeshan, Zada, Akbar, Shah, Kamal
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Implicit Fractional Differential Equations

2023
Mouffak Benchohra   +3 more
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On Generalized Nonlinear Implicit Fractional Differential Equations

In this paper, we establish necessary conditions for the existence of integrable solutions to a general class of initial value problems for nonlinear implicit fractional differential equations (FDEs). The problem is formulated using the Atangana-Baleanu-Caputo derivative with respect to a non-negative, increasing function ψ (i.e.
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Nonlinear implicit differential equations of fractional order at resonance

AIP Conference Proceedings, 2022
Snezhana Hristova   +2 more
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On some generalizations of the implicit Euler method for discontinuous fractional differential equations

Mathematics and Computers in Simulation, 2014
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Hadamard fractional derivatives for a system of coupled implicit fractional pantograph differential equations

Nonlinear Analysis: Real World Applications
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Palani, P.   +2 more
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Implicit Fractional Differential and Integral Equations

2018
Saïd Abbas   +3 more
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Existence Solutions for Implicit Fractional Relaxation Differential Equations with Impulsive Delay Boundary Conditions

Axioms, 2022
Kulandhaivel Karthikeyan   +2 more
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