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Title

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY VALUE CONDITIONS

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Abstract

 IN THIS PAPER, WE PROVE THE EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR THE FOLLOWING SINGULAR NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM (FORMULA) IS THE CAPUTO FRACTIONAL DERIVATIVE AND F: (FORMULA). IS CONTINUOUS (FORMULA) OUR ANALYSIS IS BASED ON A TRIPLED FIXED POINT THEOREM IN PARTIALLY ORDERED METRIC SPACES. AN EXAMPLE IS PRESENTED TO ILLUSTRATE THE MAIN RESULTS.

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