On applications of coupled fixed point theorem in hybrid differential equations of arbitrary order

Shaob, Muhammad; Shah, Kamal; Khan, Rahmat Ali

doi:10.26480/msmk.02.2017.17.21

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2020

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Cited by 2 publications

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“…In [27], Shaob et al used Bashiri fixed-point theorem [22] to prove the existence only of a solution to a three-point boundary value problem for a coupled system of FHDEs in Banach spaces.…”

Section: Introductionmentioning

confidence: 99%

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for $α$ -Admissible $F (ψ)$

Karapınar

Moustafa

Shehata

et al. 2020

Discrete Dynamics in Nature and Society

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In this paper, we investigate the existence of a unique coupled fixed point for α−admissible mapping which is of Fψ1,ψ2−contraction in the context of M−metric space. We have also shown that the results presented in this paper would extend many recent results appearing in the literature. Furthermore, we apply our results to develop sufficient conditions for the existence and uniqueness of a solution for a coupled system of fractional hybrid differential equations with linear perturbations of second type and with three-point boundary conditions.

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Section: Introductionmentioning

confidence: 99%

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for $α$ -Admissible $F (ψ)$

Karapınar

Moustafa

Shehata

et al. 2020

Discrete Dynamics in Nature and Society

View full text Add to dashboard Cite

show abstract

Some Fixed Point Theorems for $$F(\psi,\varphi)$$-Contractions and Their Application to Fractional Differential Equations

Srivástava

Shehata

Moustafa

2020

Russ. J. Math. Phys.

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On applications of coupled fixed point theorem in hybrid differential equations of arbitrary order

Abstract: In this manuscript, we use fixed point theorem due to Bashiri theory and develop sufficient conditions for existence of solution of coupled system of fractional differential equation in Banach space.

Cited by 2 publications

References 13 publications

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for $α$ -Admissible $F (ψ)$

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for $α$ -Admissible $F (ψ)$

Some Fixed Point Theorems for $$F(\psi,\varphi)$$-Contractions and Their Application to Fractional Differential Equations

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On applications of coupled fixed point theorem in hybrid differential equations of arbitrary order

Abstract: In this manuscript, we use fixed point theorem due to Bashiri theory and develop sufficient conditions for existence of solution of coupled system of fractional differential equation in Banach space.

Cited by 2 publications

References 13 publications

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α -Admissible F ψ

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α -Admissible F ψ

Some Fixed Point Theorems for $$F(\psi,\varphi)$$-Contractions and Their Application to Fractional Differential Equations

Contact Info

Product

Resources

About

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for $α$ -Admissible $F (ψ)$

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for $α$ -Admissible $F (ψ)$