Existence of the Class of Nonlinear Hybrid Fractional Langevin Quantum Differential Equation with Dirichlet Boundary Conditions

Existence of the Class of Nonlinear Hybrid Fractional Langevin Quantum Differential Equation with Dirichlet Boundary Conditions

In this paper, we investigate the existence results for nonlinear fractional q-difference equations with two different fractional orders supplemented with the Dirichlet boundary conditions. Our main existence results are obtained by applying the contraction mapping principle and Krasnoselskii’s fixe...

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Veröffentlicht in:Fractal and fractional 2021-12, Vol.5 (4), p.156
Hauptverfasser: Nagajothi, Nagamanickam, Sadhasivam, Vadivel, Bazighifan, Omar, El-Nabulsi, Rami Ahmad
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Calculus
Difference equations
Differential equations
Dirichlet problem
Fixed points (mathematics)
fractional differential equations
hybrid differential equations
Krasnoselskii’s fixed point theorems
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Zusammenfassung:In this paper, we investigate the existence results for nonlinear fractional q-difference equations with two different fractional orders supplemented with the Dirichlet boundary conditions. Our main existence results are obtained by applying the contraction mapping principle and Krasnoselskii’s fixed point theorem. An illustrative example is also discussed.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract5040156