Results 1 to 10 of about 17,343 (159)
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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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.
Kai Diethelm, Neville J Ford
exaly +4 more sources
A procedure to construct exact solutions of nonlinear fractional differential equations. [PDF]
ScientificWorldJournal, 2014 We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Güner Ö, Cevikel AC.
europepmc +2 more sources
Oscillation of a class of fractional differential equations with damping term. [PDF]
ScientificWorldJournal, 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 ...
Qin H, Zheng B.
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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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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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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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Fractional Differential Equations and Expansions in Fractional Powers
Symmetry, 2023 We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate solutions are derived by constructing recursions for the relevant expansion coefficients.
Diego Caratelli +2 more
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ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]
International Journal of Pure and Apllied Mathematics, 2016 In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order ? are presented graphically and table.
Hanalioğlu (Khaniyev), Tahir +1 more
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Linear differential equations with variable coefficients and Mittag-Leffler kernels
Alexandria Engineering Journal, 2022 Fractional differential equations with constant coefficients can be readily handled by a number of methods, but those with variable coefficients are much more challenging.
Arran Fernandez +2 more
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