Approximation methods in the theory of hybrid differential equations with linear perturbations of second type

Dhage, Bapurao C.

doi:10.5556/j.tkjm.45.2014.1328

Cited by 5 publications

(1 citation statement)

References 6 publications

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“…The important of the differential equations of the type hybrid implies polls number of dynamical systems dealt as special cases, ( [8], [9]). Dhage, Lakshmikantham and Jadhav proved some of the major outcomes of hybrid linear differential equations of the first order and second type disturbances ( [10], [11], [12]). A great a mathematical model for bacteria from growing by the iterative difference equation described.…”

Section: Introductionmentioning

confidence: 99%

Mixed solutions of monotone iterative technique for hybrid fractional differential equations

Ibrahim¹,

Kılıçman²,

Damag³

2015

Preprint

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This paper concerns with a mathematical modelling of biological experiments, and its influence on our lives. Fractional hybrid iterative differential equations are equations that interested in mathematical model of biology. Our technique is based on the Dhage fixed point theorem. This tool describes mixed solutions by monotone iterative technique in the nonlinear analysis. This method is used to combine two solutions: lower and upper. It is shown an approximate result for the hybrid fractional differential equations iterative in the closed assembly formed by the lower and upper solutions.

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Section: Introductionmentioning

confidence: 99%

Mixed solutions of monotone iterative technique for hybrid fractional differential equations

Ibrahim¹,

Kılıçman²,

Damag³

2015

Preprint

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A Note on the Lower and Upper Solutions of Hybrid-Type Iterative Fractional Differential Equations

Damag

Kılıçman

Dutta

et al. 2019

Natl. Acad. Sci. Lett.

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Hybrid cloud entropy systems based on Wiener process

Ibrahim

Ghani

2016

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Purpose The paper outlines a self-contained scheme for multiple networking agents at a location. It proposes a mathematical model for intelligent cloud entropy management systems. The purpose of this paper is to minimize the cost of system functionality by proposing the substantial use of a cloud-based system. Design/methodology/approach The paper proposes a hybrid cloud system, based on a fractional calculus of hybrid integral systems. Its discrete dynamics are suggested by using the fractional entropy type known as Tsallis entropy. This approach is based on the Wiener process (i.e. diffusion processes). This involves the net movement of information or data from a state of high meditation to a state of low observation. This property is a basic characteristic of hybrid cloud computing systems. Findings The paper offers a number of solutions to minimize the costs of cloud systems. The method is a proficient technique for presenting various types of fractional differential solutions. Research limitations/implications Researchers are encouraged to test and modify the proposed method. Practical implications The paper includes suggestions for the expansion of a powerful method for managing and integrating cloud systems stably. Originality/value This paper addresses an acknowledged need to study how the cost function of cloud systems can be achieved.

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Approximation methods in the theory of hybrid differential equations with linear perturbations of second type

Cited by 5 publications

References 6 publications

Mixed solutions of monotone iterative technique for hybrid fractional differential equations

Mixed solutions of monotone iterative technique for hybrid fractional differential equations

A Note on the Lower and Upper Solutions of Hybrid-Type Iterative Fractional Differential Equations

Hybrid cloud entropy systems based on Wiener process

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