Existence of deviating fractional differential equation

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DOI:

https://doi.org/10.4067/S0719-06462012000300009

Abstract

In this paper we shall establish sufficient conditions for the existence of solutions of a class of fractional differential equation (Cauchy type ) and its solvability in a subset of the Banach space. The main tool used in our study is the non-expansive operator technique. The non integer case is taken in sense of Riemann-Liouville fractional operators. Applications are illustrated.

Keywords

Fractional calculus , fractional differential equation , Cauchy equation , Riemann-Liouville fractional operators , Volterra integral equation , non-expansive mapping , iterative differential equation
  • Rabha W. Ibrahim Institute of Mathematical Sciences University Malaya, 50603 Kuala Lumpur, Malaysia.
  • Pages: 129–142
  • Date Published: 2012-10-01
  • Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal

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Published

2012-10-01

How to Cite

[1]
R. W. Ibrahim, “Existence of deviating fractional differential equation”, CUBO, vol. 14, no. 3, pp. 129–142, Oct. 2012.

Issue

Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal

Section

Articles