POSITIVE SOLUTIONS FOR SEMIPOSITONE SINGULAR α-ORDER (2 < α < 3) FRACTIONAL BVPS ON THE HALF-LINE WITH Dβ -DERIVATIVE DEPENDENCE.

Autor:	BENMEZAÏ, ABDELHAMID
Předmět:	BOUNDARY value problems MEAN value theorems FRACTIONAL calculus DEFINITE integrals DIFFERENTIAL equations
Zdroj:	Fractional Differential Calculus; Dec2020, Vol. 10 Issue 2, p237-254, 18p
Abstrakt:	This article deals with existence of positive solutions to the fractional boundary value problem ... where α ∈ (2,3), β ∈ (0,α −2], Dα is the standard Riemann-Liouville fractional derivative and the function f : (0,+∞)³ →R is continuous semipositone and may exhibit singular at u= 0 and at Dβ u = 0 The main existence result is obtained by means of Guo-Krasnoselskii's version of expansion and compression of a cone principal in a Banach space. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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