Results 41 to 50 of about 261,053 (323)
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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An Implementation Solution for Fractional Partial Differential Equations [PDF]
Mathematical Problems in Engineering, 2013 The link between fractional differentiation and diffusion equation is used in this paper to propose a solution for the implementation of fractional diffusion equations. These equations permit us to take into account species anomalous diffusion at electrochemical interfaces, thus permitting an accurate modeling of batteries, ultracapacitors, and fuel ...
Bertrand, Nicolas +3 more
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Space–time fractional stochastic partial differential equations
Stochastic Processes and their Applications, 2015 25 ...
Mijena, Jebessa B., Nane, Erkan
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Matrix approach to discrete fractional calculus II: Partial fractional differential equations [PDF]
Journal of Computational Physics, 2009 33 pages, 12 ...
Podlubny, Igor +4 more
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Fractional partial differential equations with boundary conditions
Journal of Differential Equations, 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 the associated Cauchy problems in $C_0(Ω)$ and $L_1(Ω)$.
Boris Baeumer +2 more
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SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & Computation, 2017 Summary: The main purpose of this paper is to study the existence and uniqueness of solutions for the hyperbolic fractional differential equations with integral conditions. Under suitable assumptions, the results are established by using an energy integral method which is based on constructing an appropriate multiplier.
Akilandeeswari, Aruchamy +2 more
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Mathematics, 2019 In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method.
Rasool Shah +4 more
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Alexandria Engineering Journal, 2023 Fractional partial differential equations emerge as a prominent research area in recent times owing to their ability to depict intricate physical phenomena. Discovering travelling wave solutions for fractional partial differential equations is an arduous
Rashid Ali, Elsayed Tag-eldin
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Fractal and Fractional, 2023 In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman +6 more
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Lie group classifications and exact solutions for time-fractional Burgers equation
, 2010 Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations.
A.B. Malinowska +9 more
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