Qualitative Study of Nonlinear Coupled Pantograph Differential Equations of Fractional Order
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Abstract
In this paper, we investigate a nonlinear coupled system of fractional pantograph differential equations (FPDEs). The respective results address some adequate results for existence and uniqueness of solution to the problem under consideration. In light of fixed point theorems like Banach and Krasnoselskii's, we establish the required results. Considering the tools of nonlinear analysis, we develop some results regarding Ulam-Hyers (UH) stability. We give three pertinent examples to demonstrate our main work.
Description
Shah, Kamal/0000-0002-8851-4844
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Keywords
Fpdes, Qualitative Study, Banach And Krasnoselskii’, S Fixed Point Theorems, Uh Stability Theory, Coupled System, Banach and Krasnoselskii’ s Fixed Point Theorems, Banach and Krasnoselskii’s Fixed Point Theorems, Fractional Differential Equations, Economics, FOS: Mechanical engineering, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Differential equation, Engineering, Machine learning, FOS: Mathematics, Stability (learning theory), Fixed-point theorem, Nonlinear Equations, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Piecewise Linear, Order (exchange), Pantograph, Applied Mathematics, Bifurcations in Planar Polynomial Systems, Physics, Fractional calculus, Applied mathematics, Computer science, Mechanical engineering, Modeling and Simulation, Physical Sciences, Nonlinear system, Geometry and Topology, Uniqueness, Mathematics, Nonlinear Systems, Finance, qualitative study, coupled system, Banach and Krasnoselskii's fixed point theorems, Perturbations of functional-differential equations, Applications of operator theory to differential and integral equations, UH stability theory, FPDEs, Functional-differential equations with fractional derivatives
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01 natural sciences, 0101 mathematics
Citation
Ahamad, Israr...et al. (2020). "Qualitative study of nonlinear coupled pantograph differential equations of fractional order", Fractals, Vol. 28, No. 8.
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6
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28
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8
Start Page
2040045
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CrossRef : 5
Scopus : 8
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