Application of Fractional Laplace Transform Method in Solving Linear Systems of Fractional Differential Equations [PDF]
, 2022 : Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper provides several examples to illustrate how to use fractional Laplace transform to find the solution of linear system of fractional differential equations.
Chii-Huei Yu
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A Hilbert Space Approach to Fractional Differential Equations [PDF]
, 2022 We study fractional differential equations of Riemann–Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on R, we define fractional operators by means of a functional calculus using the Fourier transform.
Diethelm, Kai +5 more
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Inverse Problems for Degenerate Fractional Integro-Differential Equations [PDF]
, 2020 This paper deals with inverse problems related to degenerate fractional integro-differential equations in Banach spaces. We study existence, uniqueness and regularity of solutions to the problem, claiming to extend well known studies for the case of non ...
Hiroki Tanabe +3 more
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Exact Solution of Linear System of Fractional Differential Equations with Constant Coefficients [PDF]
, 2022 : In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional derivative, the exact solution of linear system of fractional differential equations with constant coefficients is obtained.
Chii-Huei Yu
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Numerical Solutions for Multi-Term Fractional Order Differential Equations with Fractional Taylor Operational Matrix of Fractional Integration [PDF]
, 2020 In this article, we propose a numerical method based on the fractional Taylor vector for solving multi-term fractional differential equations. The main idea of this method is to reduce the given problems to a set of algebraic equations by utilizing the ...
İbrahim Avcı, Nazim I. Mahmudov
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Numerical solution methods for fractional partial differential equations [PDF]
, 2017 Fractional partial differential equations have been developed in many different fields such as physics, finance, fluid mechanics, viscoelasticity, engineering and biology. These models are used to describe anomalous diffusion.
Osman, Sheelan Abdulkader
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Continuous extensions of numerical methods for Stochastic Fractional Differential Equations [PDF]
, 2021 We present a technique to provide continuous-time extension of numerical methods solving Stochastic Fractional Differential Equations (SFDEs). The basic idea we follow is closely related to the classic scenario of deterministic collocation methods for ...
Giordano Giuseppe +3 more
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Fractional partial differential equations with boundary conditions [PDF]
, 2018 We identify the stochastic processes associated with one-sided fractional partial differential equations on a bounded domain with various boundary conditions. This is essential for modelling using spatial fractional derivatives. We show well-posedness of
Baeumer, Boris, +8 more
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Similarity Solution for a System of Fractional-Order Coupled Nonlinear Hirota Equations with Conservation Laws [PDF]
, 2023 The analysis of differential equations using Lie symmetry has been proved a very robust tool. It is also a powerful technique for reducing the order and nonlinearity of differential equations.
Musrrat Ali +3 more
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Practical Stability of Caputo fractional differential equations by Lyapunov functions [PDF]
, 2016 The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given ...
Donal 'Regan +5 more
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