Asymptotic integration of second-order nonlinear delay differential equations

Nontrivial solutions of a class of fractional differential equations with p-Laplacian via variational methods

“…Fractional-order derivatives and integrals are more suitable to describe the properties of real materials than those of integer-order, so fractional-order differential equations are more and more widely used in simulating the mechanical and electrical characteristics of real materials, dynamic system control theory, rock rheological properties, and many other fields (see [1][2][3][4][5][6][7][8][9][10] and their references). The existence of solutions for boundary value problems of fractional differential equations is also studied in various ways, such as some fixed point theorems, the fixed point index theory in cones, methods of upper and lower solutions, coincidence degree theory, topological degree theory, etc.…”

Conformable fractional Sturm-Liouville equation and some existence results on time scales

“…Thus, time scale calculus has various applications including noncontinuous domains like the modeling of certain bug populations, chemical reactions, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. In recent * Correspondence: emrah231983@gmail.com 2010 AMS Mathematics Subject Classification: 34N05, 26A33, 74H20 years, several authors have obtained important results about different subjects on time scales (see [3,12,13]). Although there are many studies on time scales in the literature, very few studies have been conducted about BVPs (see [2,7,11,15,16,18,19,22,30,33,35]).…”