Results 91 to 100 of about 1,330 (174)
Advances in Difference Equations, 2011 In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1 ...
Ntouyas SK, Wang Guotao, Zhang Lihong
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Some discrete fractional Lyapunov-type inequalities
, 2015 In this work we obtain Lyapunov-type inequalities for two-point conjugate and rightfocal boundary value problems depending on discrete fractional operators Δα , 1 < α 2 . Mathematics subject classification (2010): Primary 34A08, 26D15; Secondary 39A12.
R. Ferreira
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A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations
East Asian Journal on Applied Mathematics, 2019 In this work, we consider a boundary value problem involving Caputo derivatives defined in the plane. We develop a fast locally refined finite volume method for variable-coefficient conservative space-fractional diffusion equations in the plane to ...
J. Jia, Hong Wang
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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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Open Mathematics, 2016 We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions.
Aqlan Mohammed H. +3 more
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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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Existence of positive solutions of nonlinear fractional q-difference equation with parameter
Advances in Differential Equations, 2013 In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative.
Xinhui Li, Z. Han, Shurong Sun
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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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, 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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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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