The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

Existence and Nonexistence of Positive Solutions for High-Order Fractional Differential Equation Boundary Value Problems at Resonance

“…which implies that FBVP (1) happens to be at resonance. By virtue of the widespread applications, various differential equations have been studied by many researchers (see [1][2][3][4][5][6][7][8][9][10][11][12][13] and the references therein). Fractional-order models can describe many processes more accurately than integer-order models, and a great deal of papers focusing on FBVPs appeared in recent years (see [14][15][16][17][18][19][20][21][22][23]).…”

Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term

“…Fractional calculus differential equations are an important branch of differential equations. In recent years, it has attracted the interest of many researchers and has become a hot-button issue [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Compared with the integer order, it has a wider range of applications as it can be used to describespecific problems more precisely, such as the problem in complex analysis, polymer rheology, physical chemistry, electrical networks, and many other branches of science, For specific applications, see [15,16,[20][21][22][23][24][25][26][27][28].…”

Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions

“…In the aspect of mathematical theory and application, to obtain further information of the relative natural phenomena, many authors are interested in the existence and properties of solutions for fractional differential models [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] and many analytical techniques and methods have been developed to solve various differential equations, such as iterative methods [28][29][30][31][32][33][34][35][36][37], the Mawhin continuation theorem for resonance [38][39][40], the topological degree method [41,42], the fixed point theorem [43][44][45][46][47][48][49][50][51][52][53][54][55], the variational method [56][57][58]…”