Existence for fractional Dirichlet boundary value problem under barrier strip conditions

By Qilin Song, Xiao-jing Dong, Zhanbing Bai, Botao Chen. 2017

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In this paper, a fixed-point theorem is used to establish existence results for fractional Dirichlet boundary value problem Dx(t) = f(t, x(t),Dα−1x(t)), x(0) = A, x(1) = B, where 1 < α 6 2,Dαx(t) is the conformable fractional derivative, and f : [0, 1]× R2 → R is a continuous function. The main condition is sign condition. The method used is based upon the theory of fixed-point index. c ©2017 All rights reserved.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a083bf00ab3d403c207000c50e5388d2e2a66c9f