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Eman Abuteen
Pág. 147 - 151
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Izaz Ali, Hassan Khan, Rasool Shah, Dumitru Baleanu, Poom Kumam and Muhammad Arif
In the present research work, a newly developed technique which is known as variational homotopy perturbation transform method is implemented to solve fractional-order acoustic wave equations. The basic idea behind the present research work is to extend ...
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Amer Darweesh, Marwan Alquran and Khawla Aghzawi
In this paper, we present a robust algorithm to solve numerically a family of two-dimensional fractional integro differential equations. The Haar wavelet method is upgraded to include in its construction the Laplace transform step. This modification has ...
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Ravi Agarwal, Snezhana Hristova, Donal O?Regan and Kremena Stefanova
The initial value problem for a special type of scalar nonlinear fractional differential equation with a Riemann?Liouville fractional derivative is studied. The main characteristic of the equation is the presence of the supremum of the unknown function o...
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Khalid Hattaf
This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann?Liouville is defined. Moreover, fun...
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Dimplekumar Chalishajar, Chokkalingam Ravichandran, Shanmugam Dhanalakshmi and Rangasamy Murugesu
In this paper, we establish the existence of piece wise (PC)-mild solutions (defined in Section 2) for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained using techniques of fixed point the...
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Natalja O. Gordeeva,Ekaterina N. Manaeva,Ilona M. Primak,Irina I. Palasheva
The paper proposes a numerical solution for the mixed problem concerning a three-dimensional heat transfer fractional differential equation, based on the finite difference method. To solve this problem, an explicit difference scheme described in the pape...
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Ninghu Su
This paper presents solutions of the fractional partial differential equation (fPDE) for analysing water movement in soils. The fPDE explains processes equivalent to the concept of symmetrical fractional derivatives (SFDs) which have two components: the ...
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Liliya A. Demidova, Dmitry O. Zhukov, Elena G. Andrianova and Alexander S. Sigov
This paper explores the social dynamics of processes in complex systems involving humans by focusing on user activity in online media outlets. The R/S analysis showed that the time series of the processes under consideration are fractal and anti-persiste...
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Angel Golev, Snezhana Hristova and Asen Rahnev
In this paper an algorithm for approximate solving of a boundary value problem for a nonlinear differential equation with a special type of fractional derivative is suggested. This derivative is called a generalized proportional Caputo fractional derivat...
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Afshan Kanwal, Chang Phang and Umer Iqbal
In this paper, two-dimensional Genocchi polynomials and the Ritz?Galerkin method were developed to investigate the Fractional Diffusion Wave Equation (FDWE) and the Fractional Klein?Gordon Equation (FKGE). A satisfier function that satisfies all the init...
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M. Mohamed, S. M. Mabrouk and A. S. Rashed
In recent times, the global community has been faced with the unprecedented challenge of the coronavirus disease (COVID-19) pandemic, which has had a profound and enduring impact on both global health and the global economy. The utilization of mathematic...
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Azam Ahadi, Zahra Eidinejad, Reza Saadati and Donal O?Regan
We define a new control function to approximate a stochastic fractional Volterra IDE using the concept of modular-stability.
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Bakhtiyor Khuzhayorov, Azizbek Usmonov, N.M.A. Nik Long and Bekzodjon Fayziev
In this paper, a problem of anomalous solute transport in a coaxial cylindrical two-zone porous medium with fractal structure is posed and numerically solved. The porous medium is studied in the form of cylinder with two parts: macropore?with high permea...
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Fouad Mohammad Salama,Norhashidah Hj. Mohd Ali
It is time and memory consuming when numerically solving time fractional differential equations as it requires O(N^2) computational cost and O(NM) memory complexity. N and M are the total number of time levels and space grid points, respectively. In this...
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Luis Antonio Duarte Isfer, Ervin Kaminski Lenzi, Giovani Marcelo Teixeira, Marcelo Kaminski Lenzi
Pág. 279 - 285
The requirements of high production allied with product quality, process safety and environmental regulation, lead control systems to play a key role in the operation of chemical and biochemical plants. In petrochemical plants, furnaces are essential equ...
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