Upper and Lower Bounds of Solutions for Fractional Integral Equations

نویسندگان

  • Rabha W. Ibrahim
  • Shaher Momani
  • R. W. Ibrahim
  • S. Momani
  • H. M. Srivastava
چکیده

In this paper we consider the integral equation of fractional order in sense of Riemann-Liouville operator u(t) = a(t)I[b(t)u(t)] + f(t) 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. Full text

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تاریخ انتشار 2008