• Title/Summary/Keyword: linear modification of the argument

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EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT

  • Darwish, Mohamed Abdalla;Henderson, Johnny;O'Regan, Donal
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.3
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    • pp.539-553
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    • 2011
  • We study the solvability of a perturbed quadratic functional-integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.