Title of article :
Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition
Author/Authors :
Kharat ، Vinod Vijaykumar Department of Mathematics - N. B. N. Sinhgad College of Engineering , Reshimkar ، Anand Rajshekhar Department of Mathematics - D. B. F. Dayanand College of Arts and Science , Kazi ، Mansoorali A. Department of Mathematics - N. B. N. Sinhgad College of Engineering , Gophane ، Machchhindra Tolaji Department of Mathematics - Shivaji University
Abstract :
In this study, we give results on the existence and uniqueness of solutions for generalized fractional integrodifferential equations with a nonlocal terminal condition. We have proved the existence of solutions to the problem proposed using the Schauder fixed point theorem and the uniqueness of its solutions is proved using the Banach fixed point theorem. At the end, we discussed the examples to support our results.
Keywords :
Generalized fractional derivative , fractional integrodifferential equation , terminal condition , Schauder fixed point theorem
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
