On Solutions of Fractional Multi-Term Sequential Problems Via Some Special Categories of Functions and (aep)-Property
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Date
2021
Journal Title
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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Abstract
The main intention of this article is that new techniques of existence theory are used to derive some required criteria pertinent to a given fractional multi-term problem and its inclusion version. In such an approach, we do our research on a fractional integral equation corresponding to the mentioned BVPs. In more precise words, by virtue of this integral equation, we construct new operators which belong to a special category of functions named alpha-admissible and alpha-psi-contraction maps coupled with operators having (AEP)-property. Next, by considering some new properties on the existing Banach space having properties (B) and (C-alpha), our argument for ensuring the existence of solutions is completed. In addition, we also add two simulative examples to review our findings by a numerical view.
Description
Etemad, Sina/0000-0002-1574-1800; Rezapour, Shahram/0000-0003-3463-2607; Hussain, Azhar/0000-0003-4501-9269
Keywords
Alpha-Admissible Mappings, Alpha-Psi-Contractions, (Aep)-Property, Existence Criterion, The Sequential Operator, Evolutionary biology, Epistemology, Theory and Applications of Fractional Differential Equations, Existence Results, Argument (complex analysis), Mathematical analysis, Biochemistry, Quantum mechanics, Term (time), Fixed Point Theorems in Metric Spaces, Differential equation, α-admissible mappings, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Integral equation, Existence criterion, Banach space, Applied Mathematics, Physics, Pure mathematics, The sequential operator, Partial differential equation, Applied mathematics, Computer science, FOS: Philosophy, ethics and religion, Partial Ordering, Algorithm, Fractional Derivatives, Philosophy, Chemistry, Boundary Value Problems, Function (biology), Modeling and Simulation, (AEP)-property, Physical Sciences, Property (philosophy), Geometry and Topology, α-ψ-contractions, Mathematics, Ordinary differential equation, contractions, Fractional ordinary differential equations, Fractional derivatives and integrals, admissible mappings, Fixed-point and coincidence theorems (topological aspects), sequential operator, Nonlocal and multipoint boundary value problems for ordinary differential equations, existence criterion, Applications of operator theory to differential and integral equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, Dumitru...et al. (2021). "On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property", Advances in Difference Equations, Vol. 2021, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
3
Source
Advances in Difference Equations
Volume
2021
Issue
1
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Scopus : 4
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