Results 11 to 20 of about 261,053 (323)
Solution of Fractional Partial Differential Equations Using Fractional Power Series Method [PDF]
International Journal of Differential Equations, 2021 In this paper, we are presenting our work where the noninteger order partial differential equation is studied analytically and numerically using the noninteger power series technique, proposed to solve a noninteger differential equation. We are familiar with a coupled system of the nonlinear partial differential equation (NLPDE). Noninteger derivatives
Asif Iqbal Ali +2 more
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A medical image enhancement based on generalized class of fractional partial differential equations. [PDF]
Quant Imaging Med Surg, 2022 Background The interest in using fractional calculus operators has grown in the field of image processing. Image enhancement is one of image processing tools that aims to improve the details of an image. The enhancement of medical images is a challenging
Ibrahim RW +4 more
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Application of Laplace-Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations. [PDF]
Entropy (Basel), 2019 In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method.
Shah R, Khan H, Arif M, Kumam P.
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A Comparative Study of the Fractional Partial Differential Equations via Novel Transform
Symmetry, 2023 In comparison to fractional-order differential equations, integer-order differential equations generally fail to properly explain a variety of phenomena in numerous branches of science and engineering.
Abdul Hamid Ganie +2 more
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AIMS Mathematics, 2022 The goal of this research is to develop a novel analytic technique for obtaining the approximate and exact solutions of the Caputo time-fractional partial differential equations (PDEs) with variable coefficients.
Muhammad Imran Liaqat +3 more
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A Comparative Study of Fractional Partial Differential Equations with the Help of Yang Transform
Symmetry, 2023 In applied sciences and engineering, partial differential equations (PDE) of integer and non-integer order play a crucial role. It can be challenging to determine these equations’ exact solutions.
M. Naeem +4 more
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Solving fractional partial differential equations via a new scheme
AIMS Mathematics, 2022 In this paper, we introduce a new technique, called the direct power series method to solve several types of time-fractional partial differential equations and systems, in terms of the Caputo derivative. We illustrate the method with a simple algorithm
Ahmad Mohammad Qazza +2 more
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Applications on Double ARA-Sumudu Transform in Solving Fractional Partial Differential Equations
Symmetry, 2022 In this article, we apply the double ARA–Sumudu transformation (DARA-ST) to the nonlocal fractional Caputo derivative operator. We achieve interesting results and implement them to solve certain classes of fractional partial differential equations (FPDEs)
Ahmad Mohammad Qazza +3 more
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Fractal and Fractional, 2022 This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
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Arab Journal of Basic and Applied Sciences, 2022 We use the q-homotopy analysis Shehu transform method in this article to obtain analytical and numerical solutions to time fractional partial differential equations.
Lokesh Kumar Yadav +3 more
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