Existence and Uniqueness for Coupled Systems of Hilfer Type Sequential Fractional Differential Equations Involving Riemann–Stieltjes Integral Multistrip Boundary Conditions

In this paper, we study a coupled system of Hilfer type sequential fractional differential equations supplemented with Riemann–Stieltjes integral multistrip boundary conditions. The standard tools of the fixed point theory are employed to prove the existence and uniqueness results for the considered...

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Published in:Journal of mathematics (Hidawi) 2022, Vol.2022 (1)
Main Authors: Samadi, Ayub, Ntouyas, Sotiris K., Asawasamrit, Suphawat, Tariboon, Jessada
Format: Article
Language:English
Subjects:
Banach spaces
Boundary conditions
Boundary value problems
Differential equations
Fixed points (mathematics)
Fractional calculus
Mathematical analysis
Mathematics
Stieltjes integral
Theorems
Uniqueness
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description In this paper, we study a coupled system of Hilfer type sequential fractional differential equations supplemented with Riemann–Stieltjes integral multistrip boundary conditions. The standard tools of the fixed point theory are employed to prove the existence and uniqueness results for the considered problem. Examples are constructed for the illustration of the obtained results.
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subjects Banach spaces
Boundary conditions
Boundary value problems
Differential equations
Fixed points (mathematics)
Fractional calculus
Mathematical analysis
Mathematics
Stieltjes integral
Theorems
Uniqueness
title Existence and Uniqueness for Coupled Systems of Hilfer Type Sequential Fractional Differential Equations Involving Riemann–Stieltjes Integral Multistrip Boundary Conditions
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