Existence Results for a General Class of Sequential Hybrid Fractional Differential Equations
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Date
2021
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Publisher
Springer
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GOLD
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Abstract
In this paper, we study a class of nonlinear boundary value problems (BVPs) consisting of a more general class of sequential hybrid fractional differential equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear functions involved depend explicitly on the fractional derivatives. We study the necessary conditions required for the unique solution to the suggested BVP under the Caratheodory conditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.
Description
Khan, Hasib/0000-0002-7186-8435
ORCID
Keywords
Boundary Value Problems, Sequential Hybrid Fractional Differential Equations, Three Point Boundary Conditions, Existence And Uniqueness Results, Stability Analysis, Artificial intelligence, Class (philosophy), Fractional Differential Equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Boundary value problems, Database, Engineering, Differential equation, Machine learning, Three point boundary conditions, QA1-939, FOS: Mathematics, Stability (learning theory), Functional Differential Equations, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Existence and uniqueness results, Numerical partial differential equations, Domain (mathematical analysis), Applied Mathematics, Physics, Fractional calculus, Stability analysis, Partial differential equation, Measure (data warehouse), Applied mathematics, Computer science, Fractional Derivatives, Boundary Value Problems, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Uniqueness, Sequential hybrid fractional differential equations, Mathematics, Ordinary differential equation, Nonlinear boundary value problems for ordinary differential equations, boundary value problems, Fractional ordinary differential equations, stability analysis, Fractional derivatives and integrals, three point boundary conditions, Nonlocal and multipoint boundary value problems for ordinary differential equations, Hybrid systems of ordinary differential equations, existence and uniqueness results, sequential hybrid fractional differential equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Khan, Rahmat Ali...et al. (2021). "Existence results for a general class of sequential hybrid fractional differential equations", Advances in Difference Equations, Vol. 2021, No. 1.
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Q1
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OpenCitations Citation Count
13
Source
Advances in Difference Equations
Volume
2021
Issue
1
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Scopus : 16
SCOPUS™ Citations
17
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17
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1
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