Caputo-Hadamard implicit fractional differential equations with delay
São Paulo Journal of Mathematical Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Krim +2 more
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Attractivity of implicit differential equations with composite fractional derivative
Georgian Mathematical Journal, 2022Abstract In this paper, we study the existence and attractivity of solutions for an implicit differential equation with composite fractional derivative. By means of Schauder’s fixed point theorem, sufficient conditions for the main results are investigated.
Devaraj Vivek +2 more
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On deformable implicit fractional differential equations in \(b\)-metric spaces
2023Summary: In this paper, we prove some existence and uniqueness results for some classes of deformable implicit fractional differential equations in \(b\)-Metric spaces with initial conditions. We base our arguments on some some fixed point theorems. Finally, we provide an example to illustrate our results.
Salim, Abdelkrim +3 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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Stability analysis for fractional order implicit ψ‐Hilfer differential equations
Mathematical Methods in the Applied Sciences, 2021The present research endeavor contains formulation of a new ψ‐Hilfer differential equation equipped with integral‐type subsidiary conditions. Utilizing Picard operator method, Banach contraction principle, and Gronwall inequality, we explore solution's properties of the underlying problem.
null Asma +3 more
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QUALITATIVE ANALYSIS OF IMPLICIT DELAY MITTAG-LEFFLER-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
Fractals, 2022This research work is devoted to endeavor some results for a delay implicit impulsive type problem under Atangana–Baleanu fractional derivative. The concerned derivative utilizes a nonlocal and non-singular kernel. We build some hypotheses to prove our results. We use Banach and Krasnoselskii fixed point theorems to derive the required results.
Shao-Wen Yao +4 more
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Initial value problem for hybrid $$\psi $$-Hilfer fractional implicit differential equations
Journal of Fixed Point Theory and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdelkrim Salim +3 more
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Existence of periodic solutions for nonlinear implicit Hadamard’s fractional differential equations
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benchohra, Mouffak +2 more
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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 ...
Abdulrahman A. Sharif +2 more
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