Results 31 to 40 of about 537,797 (362)
Fractional Differential Equations [PDF]
, 2019 Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different ...
Juan J. Nieto, Rosana Rodríguez-López
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Fractional Differential Equations 2012 [PDF]
International Journal of Differential Equations, 2013 Journal of Differential Equations dédié aux équations différentielles fractionnaires (FDE). Ces dernières années, un nombre croissant d'articles rédigés par de nombreux auteurs de divers domaines de la science et de l'ingénierie traitent de systèmes dynamiques décrits par des équations aux dérivées partielles fractionnaires.
Fawang Liu +4 more
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A Caputo–Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment
Advances in Differential Equations, 2019 In recent years, many new definitions of fractional derivatives have been proposed and used to develop mathematical models for a wide variety of real-world systems containing memory, history, or nonlocal effects.
Elvin J. Moore +2 more
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Existence of fractional differential equations
Journal of Mathematical Analysis and Applications, 2005 AbstractConsider the fractional differential equation Dαx=f(t,x), where α∈(0,1) and f(t,x) is a given function. We obtained a sufficient condition for the existence for the solutions of this equation, improving previously known results.
Cheng Yu, Guozhu Gao
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Nonlocal Fractional Differential Equations and Applications [PDF]
Complex Analysis and Operator Theory, 2020 Boundary value problems for nonlocal fractional elliptic equations with parameter in Banach spaces are studied. Uniform $L_p$-separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives.
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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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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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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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Advances in Differential Equations, 2019 In this paper, we study the uniqueness of solutions for a fractional differential equation with dependence on the first order derivative. By means of Banach’s contraction mapping principle and a weighted norm in product space, sufficient conditions for ...
Zhenzhen Yue, Y. Zou
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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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