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2024 | OriginalPaper | Chapter

Uniqueness Functions to Conformable Differential Inclusions

Authors : Tzanko Donchev, Jamil Abbas, Iveta Nikolova, Stanislava Stoilova

Published in: New Trends in the Applications of Differential Equations in Sciences

Publisher: Springer Nature Switzerland

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Abstract

We study conformable evolution inclusions with the help of uniqueness (Perron) functions. Our conditions are much weaker than commonly used Lipschitz continuity. Existence of solutions, continuous dependence on the initial conditions and relaxation theorem have been proved. Finally we study conformable differential inclusions under one sided Lipshitz condition.

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previous chapter Mittag-Leffler Stability for Non-instantaneous Impulsive Generalized Proportional Caputo Fractional Differential Equations
next chapter Numerous Exact Solutions of the Wu-Zhang System with Conformable Time–Fractional Derivatives via Simple Equations Method (SEsM): The Case of Two Simple Equations
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A. Jaiswal, D. Bahuguna, Semilinear Conformable Fractional Differential Equations in Banach Spaces. Differ. Equ. Dyn. Syst. 27 (2019) 313–325.
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R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math. 264 (2014) 65–70.
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D. Zhao, M. Luo, General conformable fractional derivative and its physical interpretation, Calcolo 54:3 (2017) 903–917.
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H. Zhou, S. Yang, S. Zhang, Conformable derivative approach to anomalous diffusion. Phys. Stat. Mech. Its Appl. 491 (2018) 1001–1013.
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Metadata
Title
Uniqueness Functions to Conformable Differential Inclusions
Authors
Tzanko Donchev
Jamil Abbas
Iveta Nikolova
Stanislava Stoilova
Copyright Year
2024
Book
New Trends in the Applications of Differential Equations in Sciences

Print ISBN: 978-3-031-53211-5

Electronic ISBN: 978-3-031-53212-2

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-53212-2_20

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