Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition
سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 56
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شناسه ملی سند علمی:
JR_CMDE-12-1_008
تاریخ نمایه سازی: 4 آذر 1402
چکیده مقاله:
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.
کلیدواژه ها:
Generalized fractional derivative ، fractional integrodifferential equation ، terminal condition ، Schauder fixed point theorem
نویسندگان
Vinod Kharat
Department of Mathematics, N. B. N. Sinhgad College of Engineering, Kegaon-Solapur-۴۱۳۲۵۵, India.
Anand Reshimkar
Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur-۴۱۳۰۰۲, India.
Mansoorali Kazi
Department of Mathematics, N. B. N. Sinhgad College of Engineering, Kegaon-Solapur-۴۱۳۲۵۵, India.
Machchhindra Gophane
Department of Mathematics, Shivaji University, Kolhapur-۴۱۶۰۰۴, India.