Positive solutions of m-point multi-term fractional integral BVP involving time-delay for fractional differential equations

Existence results of fractional integro-differential equations with m-point multi-term fractional order integral boundary conditions

*Correspondence: [email protected] 1Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand 2Centre of Excellence in Mathematics, CHE, Sri Ayutthaya Road, Bangkok, 10400, Thailand Abstract In this article, we present some new existence and uniqueness results for nonlinear fractional integro-differential equations...

Positive solutions for Caputo fractional differential equations involving integral boundary conditions

In this work we study integral boundary value problem involving Caputo differentiation  cD tu(t) = f(t, u(t)), 0 < t < 1, αu(0)− βu(1) = ∫ 1 0 h(t)u(t)dt, γu′(0)− δu′(1) = ∫ 1 0 g(t)u(t)dt, where α, β, γ, δ are constants with α > β > 0, γ > δ > 0, f ∈ C([0, 1]×R+,R), g, h ∈ C([0, 1],R+) and cD t is the standard Caputo fractional derivative of fractional order q(1 < q < 2). By using some fix...

Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations

This article is devoted to the study of existence and multiplicity of positive solutions to a class of nonlinear fractional order multi-point boundary value problems of the type−Dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where Dq0+ represents standard Riemann-Liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ...

Positive Solutions of m-Point Boundary Value Problems for Fractional Differential Equations

Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.