Existence of positive solutions to a higher order singular boundary value problem with fractional q-derivatives

Abstract

The authors study the singular boundary value problem with fractional q-derivativeswhere q ∈ (0, 1), m ≥ 1 and n ≥ 2 are integers,

Existence and uniqueness of solutions for a fractional boundary value problem on a graph

“…Fractional BVPs defined on intervals have been studied by many authors. Many results on the existence, uniqueness, multiplicity, and nonexistence of solutions for fractional differential equations subject to various boundary conditions (BCs) have been obtained; see for example [1,2,4,7,8,11,12,13,14,15,16,17,19,20,25,26,27]. To the best of our knowledge, no work has been done for fractional BVPs on graphs.…”

Existence and Stability Analysis for Fractional Differential Equations with Mixed Nonlocal Conditions

“…For more details, see the monographs [1][2][3][4] and references therein. For theoretical development of the topic, we refer the reader to papers [5][6][7][8][9][10][11][12][13][14][15][16][17][18] and references cited therein.…”

Asymptotical stability analysis of Riemann‐Liouville q‐fractional neutral systems with mixed delays

“…Fractional q ‐difference systems have gradually aroused the attention of more and more scholars. In the last 10 years, most of the researchers were mainly concerned with the existence and uniqueness of the solution or positive solution of fractional q ‐difference equations, see previous studies . For instance, according to the fractional q ‐integral with the parametric lower limit of integration, the authors Rajković et al investigated the fractional q ‐derivative of Caputo type.…”

“…In the last 10 years, most of the researchers were mainly concerned with the existence and uniqueness of the solution or positive solution of fractional q-difference equations, see previous studies. 23,24 For instance, according to the fractional q-integral with the parametric lower limit of integration, the authors Rajković et al 25 investigated the fractional q-derivative of Caputo type. Abdeljawad and Baleanu 26 applied Caputo q-fractional derivatives to Caputo q-fractional initial value problem.…”