Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients
Date
2006-10-16
Authors
Babakhani, Azizollah
Daftardar-Gejji, Varsha
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In the present paper we discuss the existence of positive solutions in the case of multi-term non-autonomous fractional differential equations with polynomial coefficients; the constant coefficient case has been studied in [2]. We consider the equation
Dαn - Σn-1j=1 pj(x)Dαn-j)y = ƒ(x, y).
We state various conditions on ƒ and pj's under which this equation has: positive solutions, a unique solution which is positive, and a unique solution which may not be positive.
Description
Keywords
Riemann-Liouville fractional derivatives and integrals, Normal cone, Semi-ordered Banach space, Completely continuous operator, Equicontinuous set
Citation
Babakhani, A., & Daftardar-Gejji, V. (2006). Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients. <i>Electronic Journal of Differential Equations, 2006</i>(129), pp. 1-12.
Rights
Attribution 4.0 International