Positive solutions for boundary value problems of N-dimension nonlinear fractional differential system with integral boundary conditions

Abstract

Abstract. In this paper, we study existence of positive solutions to the system of three-point fractional boundary value problem Mathematics subject classification (2010): 26A33, 34B16, 34B18, 34B27.

Unique solvability of fractional functional differential equation on the basis of Vallée-Poussin theorem

“…. , m in (1.4)) and its nonlinear generalizations, we can note the following papers [3,8,9,10,13,15].…”

Existence of solutions for a higher order Riemann–Liouville fractional differential equation by Mawhin's coincidence degree theory

“…There are relatively few papers on the use of Mawhin's coincidence theorem, as compared with the number dealing with boundary value problems [1][2][3] using different fixed point theorem. One may refer to previous studies 1,2,[4][5][6][7][8][9][10][11][12][13][14][15][16] on the use of different fixed point theorems on Riemann-Liouville and Caputo-type fractional differential equations.…”

“…The motivation for this present work has come from the above articles, [4][5][6][7][8][9][10][11][12][14][15][16] where the authors assumed that the integer k, defined in (1.2), is fixed, and used other fixed point theorems. In view of the above discussions, it seems that no work has been done on the existence of solutions for problem (1.1)- (1.2).…”