Results 51 to 60 of about 282,929 (321)
Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
, 2014 In this article, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations.
K. Gepreel
semanticscholar +1 more source
Abstract and Applied Analysis, 2022 In this paper, we combine the Elzaki transform method (ETM) with the new homotopy perturbation method (NHPM) for the first time. This hybrid approach can solve initial value problems numerically and analytically, such as nonlinear fractional differential
Mohamed Z. Mohamed +2 more
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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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Exact Solutions to the Fractional Differential Equations with Mixed Partial Derivatives
Axioms, 2018 In this paper, the solvability of nonlinear fractional partial differential equations (FPDEs) with mixed partial derivatives is considered. The invariant subspace method is generalized and is then used to derive exact solutions to the nonlinear FPDEs ...
Jun Jiang, Yuqiang Feng, Shougui Li
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Journal of Ocean Engineering and Science, 2020 In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations.
Muhannad A. Shallal +4 more
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On approximation for fractional stochastic partial differential equations on the sphere [PDF]
Stochastic Environmental Research and Risk Assessment, 2018 28 pages, 7 ...
Anh, VV +3 more
openaire +3 more sources
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
semanticscholar +1 more source
Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations
Abstract and Applied Analysis, 2013 The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül +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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Impulsive Hilfer fractional differential equations
Advances in Difference Equations, 2018 Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed +3 more
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