, 2013 In this paper, we study the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α∈(2,3] with nonlocal three-point fractional boundary conditions via Sadovskii’s fixed point theorem for condensing maps.
R. Agarwal +3 more
semanticscholar +1 more source
Fractional Euler numbers and generalized proportional fractional logistic differential equation. [PDF]
Fract Calc Appl Anal, 2022 Nieto JJ.
europepmc +1 more source
Fractional contact model in the continuum [PDF]
arXiv, 2014 We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a behavior of time-dependent correlation functions, essentially different from the one known for the standard ...
arxiv
Nontrivial solutions of systems of nonlocal Caputo fractional BVPs [PDF]
Global and Stochastic Analysis, Vol. 5, No. 1, June (2018), 31-38, 2016 We discuss the existence, non-existence and multiplicity of nontrivial solutions for systems of Caputo fractional differential equations subject to nonlocal boundary conditions. Our methodology relies on classical fixed point index and we make use of recent results by Infante and Pietramala.
arxiv
On the nonlinear Hadamard-type integro-differential equation. [PDF]
Fixed Point Theory Algorithm Sci Eng, 2021 Li C.
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General Solution to Sequential Linear Conformable Fractional Differential Equations With Constant Coefficients [PDF]
arXiv, 2016 In this work, we give the general solution sequential linear conformable fractional differential equations in the case of constant coefficients for {\alpha}(\in)(0,1]. In homogeneous case, we use a fractional exponential function which generalizes the corresponding ordinary function.
arxiv
A Perron-type theorem for fractional linear differential systems [PDF]
Electronic Journal of Differential Equations, 2017 (2017), No.
142, 1-12, 2016 We give a necessary and sufficient condition for a system of linear inhomogeneous fractional differential equations to have at least one bounded solution. We also obtain an explicit description for the set of all bounded (or decay) solutions for these systems.
arxiv
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics. [PDF]
Chaos Solitons Fractals, 2023 Adewole MO +3 more
europepmc +1 more source
Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method [PDF]
arXiv, 2016 Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in [1]. Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in [2].
arxiv
Global Attractivity for Fractional Differential Equations in Weighted Spaces [PDF]
arXiv, 2016 We investigate fractional Cauchy type problem. By using Schauder fixed point theorem we obtain sufficient conditions for the global attractivity of solutions for nonlinear fractional differential equations in weighted spaces.
arxiv