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Analysis of Fractional Differential Equations
Journal of Mathematical Analysis and Applications, 2002 The authors discuss the existence, uniqueness and structural stability of solutions to nonlinear differential equations of fractional order. They take the differential operators in the Riemann-Liouville sense and the initial conditions are specified according to Caputo's suggestion, in order to allow for an interpretation in a physically meaningful way.
Diethelm, Kai, Ford, Neville J.
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Fractional Differential Equations [PDF]
International Journal of Differential Equations, 2010 1 School of Mathematical Sciences, Queensland University of Technology, P.O. Box 2434, Brisbane, Qeensland 4001, Australia 2 Department of Statistics and Probability, Michigan State University, A416 Wells Hall, East Lansing, MI 48823, USA 3 Department of Mathematics, Mu'tah University, P.O.
Fawang Liu +5 more
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A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations
Mathematics, 2023 Recently, researchers have been interested in studying fractional differential equations and their solutions due to the wide range of their applications in many scientific fields.
Hassan Kamil Jassim +1 more
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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations [PDF]
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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Oscillation of a Class of Fractional Differential Equations with Damping Term [PDF]
The Scientific World Journal, 2013 We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with ...
Huizeng Qin, Bin Zheng
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Fractional Differential Equations
, 2015 Tadeusz Kaczorek, Krzysztof Rogowski
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Extensions of some differential inequalities for fractional integro-differential equations via upper and lower solutions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 This paper deals with some differential inequalities for generalized fractional integro-differential equations by using the technique of upper and lower solutions. The fractional differential operator is taken in Caputo’s sense and the nonlinear
A. Yakar, H. Kutlay
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Stability Properties of Multi-Term Fractional-Differential Equations
Fractal and Fractional, 2023 Necessary and sufficient stability and instability conditions are reviewed and extended for multi-term homogeneous linear fractional differential equations with Caputo derivatives and constant coefficients.
Oana Brandibur, Éva Kaslik
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Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory
Mathematics, 2022 For fractional derivatives and time-fractional differential equations, we construct a framework on the basis of operator theory in fractional Sobolev spaces.
Masahiro Yamamoto
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Fuzzy Conformable Fractional Differential Equations [PDF]
International Journal of Differential Equations, 2021 In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy fractional differential equation by using the concept of conformable ...
Atimad Harir +2 more
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