Hartman-Wintner-type inequality for fractional differential equation with Prabhakar derivative [PDF]
arXiv, 2017 In this paper, we consider a nonlocal fractional boundary value problem with Prabhakar derivative and obtained a Hartman-Wintner type inequality for it.
arxiv
New Approach to Existence of Solution of Weighted Cauchy-type Problem [PDF]
arXiv, 2018 We consider a singular fractional differential equation involving generalized Katugampola derivative and obtain the existence and uniqueness of its solution. A scheme for uniformly approximating solution is constructed by using Picard iterative techniques. Illustrative example is also given.
arxiv
A coupled system of fractional differential equations with nonlocal integral boundary conditions
, 2012 In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order.
S. Ntouyas, M. Obaid
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On Stability of Generalized Cauchy-type Problem [PDF]
arXiv, 2018 In this paper, we study the stability of solution of initial value problem for fractional differential equation involving generalized Katugampola derivative. Pachpatte inequality is used as handy tool to obtain our result.
arxiv
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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The set of $p$-harmonic functions in $B_{1}$ is total in $C^{k}(\bar{B}_{1})$ [PDF]
arXiv, 2019 Let $(-\Delta_{p})^{s}$, with $0
arxiv
Solvability in Gevrey classes of some nonlinear fractional functional differential equations [PDF]
arXiv, 2019 Our purpose in this paper is to prove, under some regularity conditions on the datas, the solvability in a Gevrey class of bound -1 on the interval [-1,1] of a class of nonlinear fractional functional differential equations.
arxiv
Nonlinear boundary value problems for mixed-type fractional equations and Ulam-Hyers stability
Open Mathematics, 2020 In this article, we discuss the nonlinear boundary value problems involving both left Riemann-Liouville and right Caputo-type fractional derivatives. By using some new techniques and properties of the Mittag-Leffler functions, we introduce a formula of ...
Wang Huiwen, Li Fang
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Lyapunov type inequality for hybrid fractional differential equation with Prabhakar Derivative [PDF]
arXiv, 2016 In this paper Lyapunov type inequality is developed for hybrid fractional boundary value problem involving the prabhakar fractional derivative.
arxiv
, 2013 In this paper, we study the existence of positive solutions for the nonlinear fractional boundary value problem with a p-Laplacian operator D0+β(ϕp(D0+αu(t)))=f(t,u(t ...
Hongling Lu +3 more
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