Quadratic Integral Equation Fractional Integral Existence Asymptotic Behaviour Measure of Noncompactness Darbo Fixed Point Theorem 45G10 45M99 47H09
Issue Date:
2009
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 71p-86p
Abstract:
We study the solvability of a perturbed quadratic integral equation of
fractional order with linear modification of the argument. This equation is
considered in the Banach space of real functions which are defined, bounded
and continuous on an unbounded interval. Moreover, we will obtain some
asymptotic characterization of solutions. Finally, we give an example to
illustrate our abstract results.
