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On global existence and Ulam-Hyers stability of \Psi-Hilfer fractional integrodifferential equations

عنوان مقاله: On global existence and Ulam-Hyers stability of \Psi-Hilfer fractional integrodifferential equations
شناسه ملی مقاله: JR_JMMO-9-1_009
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:

Vinod Vijaykumar Kharat - Department~of~Mathematics, N. B. Navale Sinhgad College of Engg., Kegaon, Solapur-۴۱۳۲۵۵, India (M.S.)
Anand Rajshekhar Reshimkar - Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur-۴۱۳۰۰۲, India (M.S.)

خلاصه مقاله:
In this sense, for this new fractional integrodifferential equation, we study the Ulam-Hyers and Ulam-Hyers-Rassias stability via successive approximation method. Further, we investigate the dependence of solutions on the initial conditions and uniqueness via \epsilon-approximated solution.

کلمات کلیدی:
Ulam-Hyers stability, Psi-Hilfer fractional derivative, fractional integrodifferential equations, Banach fixed-point theorem

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1995493/