Analysis study on multi-order $ \varrho $-Hilfer fractional pantograph implicit differential equation on unbounded domains.

Autor: Thabet, Sabri T. M., Al-Sa'di, Sa'ud, Kedim, Imed, Rafeeq, Ava Sh., Rezapour, Shahram
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Zdroj: AIMS Mathematics; 2023, Vol. 8 Issue 8, p1-19, 19p
Abstrakt: In this paper, we investigate a multi-order -Hilfer fractional pantograph implicit differential equation on unbounded domains . 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 ( ), Ulam-Hyers-Rassias ( ) and semi-Ulam-Hyers-Rassias (s- ) are discussed by using nonlinear analysis topics. Finally, a concrete example includes some particular cases is enhanced to illustrate rightful of our results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index