Results 151 to 160 of about 35,805 (203)
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On Implicit $��$-Caputo Fractional Integro-differential Equations
2021In this paper, we investigate the existence and uniqueness of solution of nonlinear $ $-Caputo fractional differential equation with the help of Banach fixed point theorem. Moreover, by using $ $-Gronwall inequality, we studied some qualitative properties of solutions such as estimate and stability.
Pachpatte, Deepak B., Yewale, Bhagwat R.
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Implicit fractional differential equations with Φ–Caputo fractional derivative in Banach spaces
Journal of Interdisciplinary Mathematics, 2022Zidane Baitiche, Choukri Derbazi
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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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Mathematics
This paper develops a unified analytical framework for implicit fractional differential equations subject to anti-periodic boundary conditions. The study considers two main cases: fractional derivatives of order α∈(0,1) and α∈(1,2), both defined with ...
Ricardo Almeida
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This paper develops a unified analytical framework for implicit fractional differential equations subject to anti-periodic boundary conditions. The study considers two main cases: fractional derivatives of order α∈(0,1) and α∈(1,2), both defined with ...
Ricardo Almeida
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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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Filomat
Over the past decade, significant progress has been made in the stability analysis of nonlinear systems. However, coupled systems of nonlinear problems remain largely unexplored in the literature.
R. Shah, N. Irshad
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Over the past decade, significant progress has been made in the stability analysis of nonlinear systems. However, coupled systems of nonlinear problems remain largely unexplored in the literature.
R. Shah, N. Irshad
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Existence Results for Implicit Fractional Differential Equations with Riesz-Caputo Derivative
Journal of Fractional Calculus and Nonlinear SystemsThis article investigates the existence and uniqueness of solutions for a class of initial value problems involving implicit fractional differential equations with the Riesz–Caputo fractional derivative.
Wafaa Rahou +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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A survey on the initial value problems of fuzzy implicit fractional differential equations
Fuzzy Sets Syst., 2020The purpose of this paper is to present some basic theories of various classes of initial value problems of implicit fractional differential equation involving the Caputo-fuzzy-type, Riemann-Liouville-fuzzy-type and Hadamard-fuzzy-type concepts of ...
N. Hoa, Vu Ho
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