On a Class of Boundary Value Problems Under Abc Fractional Derivative
No Thumbnail Available
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Top 10%
Abstract
In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) of hybrid fractional differential equations (HFDEs) in the frame of Atangana-Baleanu-Caputo (ABC) fractional derivative. Making use of Krasnoselskii and Banach theorems, we obtain the required conditions. Some appropriate results of Hyers-Ulam (H-U) stability corresponding to the considered problem are also established. Also a pertinent example is given to demonstrate the results.
Description
Shah, Kamal/0000-0002-8851-4844
ORCID
Keywords
Abc Fractional Order Derivative, Hfdes, Krasnoselskii And Banach Theorems, Stability, Financial economics, Artificial intelligence, Class (philosophy), Economics, ABC fractional order derivative, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Boundary value problem, Anomalous Diffusion Modeling and Analysis, Banach space, Applied Mathematics, Fractional calculus, Partial differential equation, Applied mathematics, Computer science, HFDEs, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Derivatives, Boundary Value Problems, Modeling and Simulation, Derivative (finance), Physical Sciences, Telecommunications, Krasnoselskii and Banach theorems, Stability, Mathematics, Ordinary differential equation, Frame (networking), Nonlinear boundary value problems for ordinary differential equations, Fractional ordinary differential equations, Fractional derivatives and integrals, Applications of operator theory to differential and integral equations, fractional order derivative, stability, Krasnoselskii-Banach theorems
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Gul, Rozi...et al. (2021). "On a class of boundary value problems under ABC fractional derivative", Advances in Difference Equations, Vol. 2021, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
5
Source
Advances in Difference Equations
Volume
2021
Issue
1
Start Page
End Page
PlumX Metrics
Citations
Scopus : 12
SCOPUS™ Citations
12
checked on Feb 03, 2026
Web of Science™ Citations
12
checked on Feb 03, 2026
Google Scholar™
