Analysis study on multi-order ϱ-Hilfer fractional pantograph implicit differential equation on unbounded domains
AIMS Mathematics, ISSN: 2473-6988, Vol: 8, Issue: 8, Page: 18455-18473
2023
- 21Citations
- 2Captures
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Article Description
In this paper, we investigate a multi-order ϱ-Hilfer fractional pantograph implicit differential equation on unbounded domains (a, ∞), a ≥ 0. The existence and uniqueness of solution are established for a such problem by utilizing the Banach fixed point theorem in an applicable Banach space. In addition, stability of the types Ulam-Hyers (UH), Ulam-Hyers-Rassias (UHR) and semi-Ulam-Hyers-Rassias (s-UHR) are discussed by using nonlinear analysis topics. Finally, a concrete example includes some particular cases is enhanced to illustrate rightful of our results.
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