EXISTENCE OF POSITIVE CONTINUOUS SOLUTION OF A QUADRATIC INTEGRAL EQUATION OF FRACTIONAL ORDERS
Journal ArticleWe are concerned here with the existence of at least one positive
continuous solution of the quadratic integral equation of fractional orders
x(t) = a(t) + Iαf(t; x(t)) · Iβg(t; x(t)); α; β 2 (0; 1]:
The maximal and minimal solutions are also proved. Some applications are
given.
Fatma Farag Said Omar, , A. M. A. EL-SAYED, , M. SH. MOHAMED, (07-2011), Journal of Fractional Calculus and Applications: تم أختياره, 9 (1), 1-7