Solvability for integral boundary value problems of fractional differential equation on infinite intervals

Abstract

In this paper, we establish the solvability for integral boundary value problems of fractional differential equation with the nonlinear term dependent in a fractional derivative of lower order on infinite intervals. The existence and uniqueness of solutions for the boundary value problem are proved by means of the Schauder's fixed point theorem and Banach's contraction mapping principle. Finally, we give two examples to demonstrate the use of the main results.

Study on the Calcination Time of V2O5-WO3-MoO3/TiO2 Catalysts for SCR DeNOx

“…The agglomeration also appeared over the activated catalyst when calculated for 30 minutes. Due to the particles agglomeration, the gap between particles on the catalyst surface decreases, making it difficult for the flue gas and the active ingredient to come into contact, the quantity of the reachable active sites over the catalyst decreased which results in a reduction of the catalyst denigration efficiency [11][12][13]. Essentially, the results demonstrate the great influence of the catalyst preparation method on the catalyst pore and surface characteristics due to the difference in calcination …”

On a three-point fractional integral boundary value problem on the half-line

“…Su and Zhang [10] discussed the existence of unbounded solutions and used the Schauder's fixed point theorem to prove the existence of solutions for the following BVP D α 0 + u(t) + f (t, u(t), D α−1 0 + u(t)) = 0, t ∈ (0, +∞), u(0) = 0, u (0) = 0, D α−1 0 + u(∞) = u ∞ , u ∞ ∈ R, where 1 < α 2. Yu, Wang, and Guo [13] considered the solvability for the following integral boundary value problem of fractional differential equation:…”

“…The result presented in this paper is a continuation of previous works and is concerned with a boundary value problem of fractional order sets on the half-axis. Our main result is mainly motivated by [6], [9], [10], [13]. To overcome the compactness difficulty of fixed point operators, a special Banach space is considered.…”