Results 41 to 50 of about 1,372 (141)
Energies, 2022 Due to the complexity imposed by all the attributes of the fracture network of many naturally fractured reservoirs, it has been observed that fluid flow does not necessarily represent a normal diffusion, i.e., Darcy’s law.
Fernando Alcántara-López +4 more
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A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
, 2017 We survey some representative results on fuzzy fractional differential equations, controllability, approximate controllability, optimal control, and optimal feedback control for several different kinds of fractional evolution equations.
Agarwal, Ravi P. +4 more
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Existence and Uniqueness Result for Fuzzy Fractional Order Goursat Partial Differential Equations
Fractal and FractionalIn this manuscript, we discuss fractional fuzzy Goursat problems with Caputo’s gH-differentiability. The second-order mixed derivative term in Goursat problems and two types of Caputo’s gH-differentiability pose challenges to dealing with Goursat ...
Muhammad Sarwar +4 more
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Fractal and Fractional, 2021 Research into the recent developments for solving fractional mathematical equations requires accurate and efficient numerical methods. Although many numerical methods based on Caputo’s fractional derivative have been proposed to solve fractional ...
Andang Sunarto +4 more
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Fractional differential equations solved by using Mellin transform
, 2014 In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
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, 2010 We prove optimality conditions for different variational functionals containing left and right Caputo fractional derivatives. A sufficient condition of minimization under an appropriate convexity assumption is given.
Agrawal +31 more
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Analytical solution of the time fractional Navier-Stokes equation
Ain Shams Engineering Journal, 2018 In this paper we will use the residual power series (RPS) method to generate the solution of the nonlinear time fractional Navier-Stokes equation in two dimensions in the form of a rapidly convergent series, where we adopted the definition of Caputo to ...
Khaled K. Jaber, Rami S. Ahmad
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A Fractional Complex Permittivity Model of Media with Dielectric Relaxation
Fractal and Fractional, 2017 In this work, we propose a fractional complex permittivity model of dielectric media with memory. Debye’s generalized equation, expressed in terms of the phenomenological coefficients, is replaced with the corresponding differential equation by applying ...
Armando Ciancio +1 more
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An Efficient Technique of Fractional-Order Physical Models Involving ρ-Laplace Transform
Mathematics, 2022 In this article, the ρ-Laplace transform is paired with a new iterative method to create a new hybrid methodology known as the new iterative transform method (NITM).
Nehad Ali Shah +3 more
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Backward Linear Control Systems on Time Scales
, 2010 We show how a linear control systems theory for the backward nabla differential operator on an arbitrary time scale can be obtained via Caputo's duality. More precisely, we consider linear control systems with outputs defined with respect to the backward
Pawluszewicz, Ewa, Torres, Delfim F. M.
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