Monotonic solutions of functional integral and differential equations of fractional order

A. M. A. El-Sayed, Alexandria University, Alexandria, Egypt
H. H. G. Hashem, Alexandria University, Alexandria, Egypt

E. J. Qualitative Theory of Diff. Equ., No. 7. (2009), pp. 1-8.

Abstract: The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equations have been studied by J. Banas. Here we are concerned with a singular quadratic functional integral equations. The existence of positive monotonic solutions $x \in L_1[0,1]$ will be proved. The fractional order nonlinear functional differential equation will be given as a special case.

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