Boundary Value Problem of Weighted Fractional Derivative of a Function With a Respect To Another Function of Variable Order
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Date
2023
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Publisher
Springer
Open Access Color
GOLD
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Abstract
This study aims to resolve weighted fractional operators of variable order in specific spaces. We establish an investigation on a boundary value problem of weighted fractional derivative of one function with respect to another variable order function. It is essential to keep in mind that the symmetry of a transformation for differential equations is connected to local solvability, which is synonymous with the existence of solutions. As a consequence, existence requirements for weighted fractional derivative of a function with respect to another function of constant order are necessary. Moreover, the stability with in Ulam-Hyers-Rassias sense is reviewed. The outcomes are derived using the Kuratowski measure of non-compactness. A model illustrates the trustworthiness of the observed results.
Description
Mohammed Said, Souid/0000-0002-4342-5231
ORCID
Keywords
Weighted Fractional Integrals, Weighted Spaces Of Summable Functions, Fixed Point Theorem, Derivatives And Integrals Of Variable Order, Boundary Value Problem, Measure Of Non-Compactness, Financial economics, Fractional Differential Equations, Economics, Derivatives and integrals of variable order, Evolutionary biology, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Weighted spaces of summable functions, Database, QA1-939, FOS: Mathematics, Weighted fractional integrals, Measure of non-compactness, Variable (mathematics), Functional Differential Equations, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Fixed point theorem, Applied Mathematics, Fractional calculus, Pure mathematics, Measure (data warehouse), Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Derivatives, Chemistry, Boundary Value Problems, Function (biology), Boundary (topology), Modeling and Simulation, Derivative (finance), Physical Sciences, Transformation (genetics), Mathematics, Finance, Fractional ordinary differential equations, derivatives and integrals of variable order, Fractional derivatives and integrals, boundary value problem, weighted fractional integrals, fixed point theorem, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., weighted spaces of summable functions, measure of noncompactness, Applications of operator theory to differential and integral equations
Turkish CoHE Thesis Center URL
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Benia, Kheireddine...et al. (2023). "Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order", Journal of Inequalities and Applications, Vol. 2023, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
8
Source
Journal of Inequalities and Applications
Volume
2023
Issue
1
Start Page
End Page
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Citations
Scopus : 13
SCOPUS™ Citations
13
checked on Feb 03, 2026
Web of Science™ Citations
13
checked on Feb 03, 2026
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4
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