On the Theory of ?-Hilfer Nonlocal Cauchy Problem
نویسندگان
چکیده
In this paper, we derive the representation formula of solution for ?-Hilfer fractional differential equation with constant coefficient in form Mittag-Leffler function by using Picard’s successive approximation. Moreover, some properties and fixed point theorems such as Banach Schaefer, introduce new results qualitative existence uniqueness. The generalized Gronwall inequality lemma is used analyze E? -Ulam-Hyers stability. Finally, one example to illustrate obtained
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ژورنال
عنوان ژورنال: Journal of Siberian Federal University. Mathematics and Physics
سال: 2021
ISSN: ['1997-1397', '2313-6022']
DOI: https://doi.org/10.17516/1997-1397-2021-14-2-161-177