Results 21 to 30 of about 34,984 (270)
Nonautonomous Dynamical Systems, 2021 In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point
Salim Abdelkrim +4 more
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On a Riemann–Liouville Type Implicit Coupled System via Generalized Boundary Conditions
Mathematics, 2021 We study a coupled system of implicit differential equations with fractional-order differential boundary conditions and the Riemann–Liouville derivative.
Usman Riaz +5 more
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Topological Algebra and its Applications, 2022 In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Bouriah Soufyane +2 more
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Известия Иркутского государственного университета: Серия "Математика", 2023 This paper introduces a new numerical technique based on the implicit spectral collocation method and the fractional Chelyshkov basis functions for solving the fractional Fredholm integro-differential equations. The framework of the proposed method is to
Y. Talaei +2 more
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A new mathematical formulation for a phase change problem with a memory flux [PDF]
, 2018 A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model
Bollati, Julieta +2 more
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On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative
Boundary Value Problems, 2021 In this paper, we study a class of initial value problems for a nonlinear implicit fractional differential equation with nonlocal conditions involving the Atangana–Baleanu–Caputo fractional derivative.
Abeer S. Alnahdi +4 more
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Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations [PDF]
Mathematical Methods in the Applied Sciences, 2020 In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal fractional integral boundary conditions. The existence of a solution, Ulam–Hyers, and Ulam–Hyers–Rassias stability have been acquired by means of an equivalent ...
Ashwini D. Mali, Kishor D. Kucche
openaire +2 more sources
Advances in Difference Equations, 2017 In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
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Fractional Order Runge–Kutta Methods
Fractal and Fractional, 2023 This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations (FDEs).
Farideh Ghoreishi +2 more
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Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces
Journal of Function Spaces, 2021 This manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α−φ-Geraghty type contraction and the fixed point theory. We express an illustrative example.
Salim Krim +3 more
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