Results 21 to 30 of about 481,023 (339)
Differential transform method for conformable fractional partial differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative.
M. Eslami, S.A. Taleghani
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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
The Scientific World Journal, 2014 We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Özkan Güner, Adem C. Cevikel
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Linearized asymptotic stability for fractional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differential equation is asymptotically stable if its linearization at the ...
Nguyen Cong +3 more
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Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method
Advances in Mathematical Physics, 2021 In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in
Suleyman Cetinkaya +2 more
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Fractional calculus and time-fractional differential equations: revisit and construction of a theory [PDF]
arXiv, 2022 For fractional derivatives and time-fractional differential equations, we construct a framework on the basis of the operator theory in fractional Sobolev spaces. Our framework provides a feasible extension of the classical Caputo and the Riemann-Liouville derivatives within Sobolev spaces of fractional orders including negative ones.
arxiv
AIMS Mathematics, 2020 In present paper, we introduced generalized iterative method to solve linear and nonlinear fractional differential equations with composite fractional derivative operator.
Krunal B. Kachhia +1 more
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Solution of System of Linear Fractional Differential Equations with Modified derivative of Jumarie Type [PDF]
American Journal of Mathematical Analysis, 2015, 2015 Solution of fractional differential equations is an emerging area of present day research because such equations arise in various applied fields. In this paper we have developed analytical method to solve the system of fractional differential equations in-terms of Mittag-Leffler function and generalized Sine and Cosine functions, where the fractional ...
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On the oscillation of fractional differential equations
Fractional Calculus and Applied Analysis, 2012 In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form $$D_a^q x + f_1 (t,x) = v(t) + f_2 (t,x),\mathop {\lim }\limits_{t \to a} J_a^{1 - q} x(t) = b_1 $$ , where Daq denotes the Riemann-Liouville differential
Grace, Said R. +3 more
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Fractional Complex Transform for Fractional Differential Equations [PDF]
Mathematical and Computational Applications, 2010 Fractional complex transform is proposed to convert fractional differential equations into ordinary differential equations, so that all analytical methods devoted to advanced calculus can be easily applied to fractional calculus. Two examples are given.
Zheng-Biao Li, Ji-Huan He
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Arab Journal of Basic and Applied Sciences, 2018 The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
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