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Analyze implicit fractional differential equations using the AB-Caputo fractional derivative
International Journal of Modeling, Simulation, and Scientific ComputingIn 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, 2015zbMATH 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, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali, Zeeshan, Zada, Akbar, Shah, Kamal
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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.openaire +1 more source
Nonlinear implicit differential equations of fractional order at resonance
AIP Conference Proceedings, 2022Snezhana Hristova +2 more
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Mathematics and Computers in Simulation, 2014
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Nonlinear Analysis: Real World Applications
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Palani, P. +2 more
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Palani, P. +2 more
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Implicit Fractional Differential and Integral Equations
2018Saïd Abbas +3 more
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