Results 91 to 100 of about 1,363 (174)
The general solution of impulsive systems with Riemann-Liouville fractional derivatives
Open Mathematics, 2016 In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero).
Zhang Xianmin +4 more
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Computational and Mathematical BiophysicsIn this manuscript, we examine the blood alcohol model to investigate the dynamics of alcohol concentration in the human body. The classical model of blood alcohol concentration is converted into the fractional model by using Caputo, Caputo-Fabrizio (CF),
Prakash Amit, Kalyan Neha, Ahuja Sanjeev
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An investigation of fractional Bagley-Torvik equation
Open Mathematics, 2019 In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
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Open Physics, 2019 In this paper, we study the synchronization of fractional–order discrete–time chaotic systems by means of two scaling matrices Θ and Φ. The considered synchronization scheme can be tailored to encompass several types of classical synchronization types ...
Ouannas Adel +5 more
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, 2014 In this paper, we study the existence and uniqueness of solution for a problem consisting of a sequential nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions.
W. Yukunthorn, S. Ntouyas, J. Tariboon
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Generalized Gronwall inequalities and their applications to fractional differential equations
, 2013 In this paper, we provide several generalizations of the Gronwall inequality and present their applications to prove the uniqueness of solutions for fractional differential equations with various derivatives.MSC:26A33, 34A08.
Shi-you Lin
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Nonautonomous Dynamical Systems, 2019 The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales.
Kumar Vipin, Malik Muslim
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ANALYTICAL SOLUTION OF BAGLEY TORVIK EQUATION BY GENERALIZE DIFFERENTIAL TRANSFORM
, 2016 In the present paper, we use generalized differential transform method (GDTM) to derive solution of Bagley Torvik equation. The fractional derivative are described in the Caputo sense.
M. Bansal, R. Jain
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Existence and multiplicity of positive solutions for a system of fractional boundary value problems
Boundary Value Problems, 2014 We study the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to integral boundary conditions.
J. Henderson, R. Luca
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On the oscillation of a class of damped fractional differential equations
, 2016 Using Riccati type transformations, the authors establish some new oscillation criteria for the fractional differential equation D 0C y .t/Cp.t/ D 0Cy .t/Cq.t/f .G.t//D 0; t > 0; whereD ̨ 0Cy is the Riemann-Liouville fractional derivative of order ̨ of y,
E. Tunç, Osman Tunc
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