Existence and iterative method for some fourth order nonlinear boundary value problems

Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters

“…As we all know, fractional differential equation theory is becoming more and more perfect because of its extensive application, and many significant achievements have been made; see [1][2][3][4][5][6][7][8][9][10][11][12]. As one of many applications, turbulence problem can be well characterized by the p-Laplacian operator; see [13].…”

Positive solutions of beam equations under nonlocal boundary value conditions

“…All the signs of the derivatives from the first to the third with respect to t of the Green's functions corresponding to (1.2) and (1.3) do not change, which plays an essential role in [13] when estimating the norms. The readers are referred to [14,15] for more information and techniques about the issue considered. Note that the boundary conditions in (1.1) are different from those in (1.2) and (1.3), and both the first and third derivatives with respect to t of the Green's function corresponding to (1.1) may be sign-changing.…”

Monotone iterative method for a p-Laplacian boundary value problem with fractional conformable derivatives

“…of fractional differential equations involving Caputo, Riemann-Liouville, Hadamard type derivatives, for instance, see [1][2][3][4][5][6][7][8][9][10]. For some recent results on Riemann-Liouville fractional differential equations, we refer the reader to the articles [11][12][13][14][15] and the references cited therein.…”

“…Monotone iterative method is found to be an important and efficient method to obtain sequences of monotone solutions for initial and boundary value problems. For some applications of this technique to nonlinear fractional differential equations, see [15,[33][34][35][36][37][38][39][40][41][42][43]. In 2017, Jarad et.…”