Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition

نویسندگان
Reshimkar, Anand Rajshekhar ID 1
Kazi, Mansoorali A ID 2
Gophane, Machchhindra Tolaji ID 3
Kharat, Vinod Vijaykumar ID 4

1 Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur-413002, India.

2 Department of Mathematics, N. B. N. Sinhgad College of Engineering, Kegaon-Solapur-413255, India.

3 Department of Mathematics, Shivaji University, Kolhapur-416004, India.

4 Department of Mathematics, N. B. N. Sinhgad College of Engineering, Kegaon-Solapur-413255, India.

doi
10.22034/cmde.2023.53224.2243
چکیده

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.

کلیدواژه‌ها
Generalized fractional derivative, fractional integrodifferential equation, terminal condition, Schauder fixed point theorem