Existence results for hybrid fractional differential equations with Hilfer fractional derivative
Publish place: Caspian Journal of Mathematical Sciences، Vol: 9، Issue: 2
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-9-2_012
تاریخ نمایه سازی: 27 بهمن 1399
Abstract:
This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.
Keywords:
Hybrid fractional differential equations , Initial value problem , Hilfer fractional derivative , fixed point theorem , Existence
Authors
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Department of Mathematics and Computer Sciences, Hakim Sabzevari University of Sabzevar, Sabzevar, Iran.
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Department of Mathematics , Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-۶۴۱۰۲۰, India.
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Department of Mathematics Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-۶۴۱۰۲۰, India.