Lakshmikantham Monotone Iterative Principle for Hybrid Atangana-Baleanu-Caputo Fractional Differential Equations
نویسندگان
چکیده
Abstract In this paper, we study the following fractional differential equation involving Atangana-Baleanu-Caputo derivative: { A B C a D τ θ [ x stretchy="false">( ϑ stretchy="false">) − F , stretchy="false">] = G ∈ J : b φ ℝ . $$\left\{ {\matrix{ {AB{C_a}D_\tau ^\theta [x(\vartheta ) - F(\vartheta ,x(\vartheta ))] = G(\vartheta )),\;\;\;{\kern 1pt} \vartheta \in J: [a,b],} \hfill \cr {x(a) {\varphi _a} .} } \right.$$ The result is based on a Dhage fixed point theorem. Further, an example provided for justification of our main result.
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ژورنال
عنوان ژورنال: Annals of the West University of Timisoara: Mathematics and Computer Science
سال: 2023
ISSN: ['1841-3307', '1841-3293']
DOI: https://doi.org/10.2478/awutm-2023-0007