Some Existence and Dependence Criteria of Solutions to a Fractional Integro-Differential Boundary Value Problem via the Generalized Gronwall Inequality
نویسندگان
چکیده
The main intention of the present research study is focused on analysis a Caputo fractional integro-differential boundary problem (CFBVP) in which right-hand side supposed differential equation represented as sum two nonlinear terms. Under integro-derivative conditions, we extract an equivalent integral and then define new operators based it. With help three distinct fixed-point theorems attributed to Krasnosel’skiĭ, Leray–Schauder, Banach, investigate desired uniqueness existence results. Additionally, dependence criterion solutions for this CFBVP checked via generalized version Gronwall inequality. Next, simulative examples are designed examine our findings procedures applied theorems.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9111165