Positive solutions for nonlinear fractional differential equations

Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations

“…Fractional differential equations arise from a variety of applications including in various fields of science and engineering. In particular, problems concerning qualitative analysis of the positivity of such solutions for fractional differential equations (FDE) have received the attention of many authors, see [1,2,3,4,5,6,8,9,13,14,15,16] and the references therein.…”

Positive solutions for first-order nonlinear Caputo-Hadamard fractional differential equations

“…has been investigated in [5], where C D α is the standard Caputo's fractional derivative of order 1 < α ≤ 2, g, f :…”

Existence and uniqueness of positive solutions for first-order nonlinear Liouville–Caputo fractional differential equations

“…Fractional differential equations with and without delay arise from a variety of applications including in various fields of science and engineering such as applied sciences, practical problems concerning mechanics, the engineering technique fields, economy, control systems, physics, chemistry, biology, medicine, atomic energy, information theory, harmonic oscillator, nonlinear oscillations, conservative systems, stability and instability of geodesic on Riemannian manifolds, dynamics in Hamiltonian systems, etc. In particular, problems concerning qualitative analysis of linear and nonlinear fractional differential equations with and without delay have received the attention of many authors, see [1][2][3][4][5][6][7][8][9][10][11][12]14] and the references therein.…”

“…has been investigated in [4], where C D α is the standard Liouville-Caputo's fractional derivative of order 1 < α ≤ 2, g, f :…”

“…In this paper, we are interested in the analysis of qualitative theory of the problems of the positive solutions to fractional differential equations. Inspired and motivated by the works mentioned above and the papers [1][2][3][4][5][6][7][8][9][10][11][12]14] and the references therein, we concentrate on the positivity of solutions for the first-order nonlinear Liouville-Caputo…”