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Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term

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  • Azizollah Babakhani
  • Dumitru Baleanu

Abstract

We established the existence of a positive solution of nonlinear fractional differential equations , with finite delay , , where , that is, is singular at and . The operator of involves the Riemann-Liouville fractional derivatives. In this problem, the initial conditions with fractional order and some relations among them were considered. The analysis rely on the alternative of the Leray-Schauder fixed point theorem, the Banach fixed point theorem, and the Arzela-Ascoli theorem in a cone.

Suggested Citation

  • Azizollah Babakhani & Dumitru Baleanu, 2011. "Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, June.
    • Handle: RePEc:hin:jnlaaa:391971
    DOI: 10.1155/2011/391971
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