Implicit Hilfer–Pettis Fractional Differential Equations
Series on Analysis, Applications and Computation, 2023exaly +2 more sources
Implicit fractional differential equations: Existence of a solution revisited
Mathematical Methods in the Applied Sciences, 2023This paper focuses on revisiting and improving the results regarding the existence of a solution to the implicit fractional differential equations (FDEs) given in the following form: for all with the initial condition , where is the Caputo fractional derivative (CFD).
Canan Çelik, Faruk Develi
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Nonlinear Implicit Hadamard–Pettis Fractional Differential Equations
Series on Analysis, Applications and Computation, 2023exaly +2 more sources
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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On the Aronszajn Property for an Implicit Differential Equation of Fractional Order
Zeitschrift für Analysis und ihre Anwendungen, 2010In this paper we investigate some topological properties of solution sets of an implicit differential equation of fractional order in Banach spaces.
Dutkiewicz, Aldona, Szufla, Stanislaw
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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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Analysis of a New Class of Impulsive Implicit Sequential Fractional Differential Equations
International Journal of Nonlinear Sciences and Numerical Simulation, 2020Abstract In this paper, we study an implicit sequential fractional order differential equation with non-instantaneous impulses and multi-point boundary conditions. The article comprehensively elaborate four different types of Ulam’s stability in the lights of generalized Diaz Margolis’s fixed point theorem.
Akbar Zada, Sartaj Ali, Tongxing Li
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The Darboux problem for an implicit fractional-order differential equation
Journal of Mathematical Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vityuk, Aleksandr Nikanorovich +1 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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