Positive solvability for conjugate fractional differential inclusion of (k, n − k) type without continuity and compactness

Ahmed Salem; Aeshah Al-Dosari

doi:10.3390/axioms10030170

Positive solvability for conjugate fractional differential inclusion of (k, n − k) type without continuity and compactness

Ahmed Salem, Aeshah Al-Dosari

Mathematics

King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The monotonicity of multi-valued operators serves as a guideline to prove the existence of the results in this article. This theory focuses on the existence of solutions without continuity and compactness conditions. We study these results for the (k, n − k) conjugate fractional differential inclusion type with λ > 0, 1 ≤ k ≤ n − 1.

Original language	English
Article number	170
Journal	Axioms
Volume	10
Issue number	3
DOIs	https://doi.org/10.3390/axioms10030170
State	Published - Sep 2021

Keywords

(n − k, k) conjugate operator
Existence and uniqueness
Monotone operator
Spectral radius

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10.3390/axioms10030170

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title = "Positive solvability for conjugate fractional differential inclusion of (k, n − k) type without continuity and compactness",

abstract = "The monotonicity of multi-valued operators serves as a guideline to prove the existence of the results in this article. This theory focuses on the existence of solutions without continuity and compactness conditions. We study these results for the (k, n − k) conjugate fractional differential inclusion type with λ > 0, 1 ≤ k ≤ n − 1.",

keywords = "(n − k, k) conjugate operator, Existence and uniqueness, Monotone operator, Spectral radius",

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AB - The monotonicity of multi-valued operators serves as a guideline to prove the existence of the results in this article. This theory focuses on the existence of solutions without continuity and compactness conditions. We study these results for the (k, n − k) conjugate fractional differential inclusion type with λ > 0, 1 ≤ k ≤ n − 1.

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KW - Monotone operator

KW - Spectral radius

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Positive solvability for conjugate fractional differential inclusion of (k, n − k) type without continuity and compactness

Abstract

Keywords

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