Results 21 to 30 of about 35,364 (303)
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations [PDF]
SIAM Journal of Scientific Computing, 2018 Fanhai Zeng, Ian Turner, Kevin Burrage
exaly +2 more sources
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021 In this paper, exact and numerical solutions of two dimensional time-fractional diffusion-reaction equation involving the Riemann-Liouville derivative are determined, by applying a procedure that combines the Lie symmetry analysis with the numerical ...
Alessandra Jannelli +1 more
doaj +1 more source
Fractal and Fractional, 2022 This study is devoted to studying the existence and uniqueness of solutions for Hadamard implicit fractional differential equations with generalized Hadamard fractional integro-differential boundary conditions by utilizing the contraction principle of ...
Limin Guo +3 more
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Existence Results for BVP of a Class of Generalized Fractional-Order Implicit Differential Equations
Communications in Advanced Mathematical Sciences, 2022 In this paper, we study the existence of solutions to boundary value problem for implicit differential equations involving generalized fractional derivative via fixed point methods.
Dvivek Vivek +2 more
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On the impulsive implicit Ψ‐Hilfer fractional differential equations with delay [PDF]
Mathematical Methods in the Applied Sciences, 2019 In this paper, we investigate the existence and uniqueness of solutions and derive the Ulam‐Hyers‐Mittag‐Leffler stability results for impulsive implicit Ψ‐Hilfer fractional differential equations with time delay. It is demonstrated that the Ulam‐Hyers and generalized Ulam‐Hyers stability are the specific cases of Ulam‐Hyers‐Mittag‐Leffler stability ...
Jyoti P. Kharade, Kishor D. Kucche
openaire +2 more sources
On Implicit $ψ$-Caputo Fractional Integro-differential Equations
, 2021 13 ...
Pachpatte, Deepak B., Yewale, Bhagwat R.
openaire +2 more sources
Abstract and Applied Analysis, 2021 This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative.
Abdelkrim Salim +3 more
doaj +1 more source
An advanced meshless method for time fractional diffusion equation [PDF]
, 2011 Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modelling and simulation for fractional calculus are ...
Gu Y. T. +7 more
core +2 more sources
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
doaj +1 more source
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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