Upper and lower bounds of solutions for fractional integral equations
Journal Title: Surveys in Mathematics and its Applications - Year 2007, Vol 2, Issue 0
Abstract
In this paper we consider the integral equation offractional order in sense of Riemann-Liouville operator<CENTER>u<SUP>m</SUP>(t) = a(t) I<SUP>α</SUP> [b(t)u(t)]+f(t)</CENTER>with m ≥ 1, t ∈ [0, T], T < ∞ and 0< α <1. We discuss the existence, uniqueness, maximal, minimal and the upper and lower bounds of the solutions. Also we illustrate our results with examples.
Authors and Affiliations
Rabha Ibrahim, Shaher Shaher Momani
Keywords
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