@Article{AAM-33-4,
author = {Ghendir, Aoun, Abdellatif},
title = {Existence of Solutions for Nonlocal Boundary Value Problem of Fractional Differential Equations on the Infinite Interval},
journal = {Annals of Applied Mathematics},
year = {2017},
volume = {33},
number = {4},
pages = {340--352},
abstract = {<p style="text-align: justify;">In this paper, we study a fractional differential equation $$^cD^α _{0+} u(t) + f(t, u(t)) = 0, \ t ∈ (0, +∞)$$ satisfying the boundary conditions: $$u′(0)=0,\ \lim\limits_{t→+∞} \ ^cD^{α−1}_{0+} u(t) = g(u),$$ where $1&lt;α\leq 2,$ $^cD^α_{0+}$ is the standard Caputo fractional derivative of order $α.$ The main tools used in the paper is a contraction principle in the Banach
space and the fixed point theorem due to D. O’Regan. Under a compactness
criterion, the existence of solutions is established.</p>},
issn = {},
doi = {https://doi.org/2017-AAM-20615},
url = {https://global-sci.com/article/72759/existence-of-solutions-for-nonlocal-boundary-value-problem-of-fractional-differential-equations-on-the-infinite-interval}
}