Monotonicity Analysis of Fractional Proportional h-Differences رسالة ماجستير

Abstract

In this work, the definitions of Nabla fractional proportional h-sums and Reiman- Liouville RL fractional proportional h-differences of order 0 < a 1,0<م٤1‎ have been formulated, some applications on the old monotonicity results of frac- tional proportional differences and fractional h-differences have been detected. Moreover, the monotonicity analysis of fractional proportional-h differences

for 0 < l, 0 < p ‏ك‎ l have been proved.