$Hilfer fractional quantum system with Riemann-Liouville fractional derivatives and integrals in boundary conditions$

Hilfer fractional quantum system with Riemann-Liouville fractional derivatives and integrals in boundary conditions

In this paper, we initiate the study of existence and uniqueness of solutions for a coupled system involving Hilfer fractional quantum derivatives with nonlocal boundary value conditions containing $ q $-Riemann-Liouville fractional derivatives and integrals. Our results are supported by some well-k...

Full description

Bibliographic Details
Main Authors:	Donny Passary, Sotiris K. Ntouyas, Jessada Tariboon
Format:	Article
Language:	English
Published:	AIMS Press 2024-01-01
Series:	AIMS Mathematics
Subjects:	quantum calculus hilfer derivative systems existence and uniqueness
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2024013?viewType=HTML

Similar Items

Hilfer Fractional Quantum Derivative and Boundary Value Problems
by: Phollakrit Wongsantisuk, et al.
Published: (2022-03-01)

Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions
by: Athasit Wongcharoen, et al.
Published: (2020-06-01)

Nonlocal Boundary Value Problems for Hilfer Generalized Proportional Fractional Differential Equations
by: Jessada Tariboon, et al.
Published: (2022-03-01)

Existence Results for Nonlinear Coupled Hilfer Fractional Differential Equations with Nonlocal Riemann–Liouville and Hadamard-Type Iterated Integral Boundary Conditions
by: Sunisa Theswan, et al.
Published: (2022-09-01)

Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions
by: Nawapol Phuangthong, et al.
Published: (2021-03-01)

Existence and stability results for ψ-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions
by: Weerawat Sudsutad, et al.
Published: (2021-02-01)

On the Generalized Hilfer Fractional Coupled Integro-Differential Systems with Multi-Point Ordinary and Fractional Integral Boundary Conditions
by: Chayapat Sudprasert, et al.
Published: (2024-01-01)

Quantum calculus with respect to another function
by: Nattapong Kamsrisuk, et al.
Published: (2024-03-01)

Boundary Value Problems for Hilfer Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions
by: Athasit Wongcharoen, et al.
Published: (2020-10-01)

Existence results for a coupled system of (k,φ)-Hilfer fractional differential equations with nonlocal integro-multi-point boundary conditions
by: Nattapong Kamsrisuk, et al.
Published: (2023-01-01)

Multi-Point Boundary Value Problems for (<i>k</i>, <i>ϕ</i>)-Hilfer Fractional Differential Equations and Inclusions
by: Jessada Tariboon, et al.
Published: (2022-03-01)

Existence of Positive Solutions to Boundary Value Problems with Mixed Riemann–Liouville and Quantum Fractional Derivatives
by: Nemat Nyamoradi, et al.
Published: (2023-09-01)

On a Nonlocal Coupled System of Hilfer Generalized Proportional Fractional Differential Equations
by: Ayub Samadi, et al.
Published: (2022-04-01)

(<i>k</i>,<i>ψ</i>)-Hilfer Nonlocal Integro-Multi-Point Boundary Value Problems for Fractional Differential Equations and Inclusions
by: Sotiris K. Ntouyas, et al.
Published: (2022-07-01)

Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ-Hilfer fractional derivative
by: Chatthai Thaiprayoon, et al.
Published: (2021-01-01)

Nonlocal Coupled System for (<i>k</i>,<i>φ</i>)-Hilfer Fractional Differential Equations
by: Ayub Samadi, et al.
Published: (2022-04-01)

Integro-Differential Boundary Conditions to the Sequential <i>ψ</i><sub>1</sub>-Hilfer and <i>ψ</i><sub>2</sub>-Caputo Fractional Differential Equations
by: Surang Sitho, et al.
Published: (2023-02-01)

Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions
by: Chanon Promsakon, et al.
Published: (2018-10-01)

Systems of Sequential <i>ψ</i><sub>1</sub>-Hilfer and <i>ψ</i><sub>2</sub>-Caputo Fractional Differential Equations with Fractional Integro-Differential Nonlocal Boundary Conditions
by: Surang Sitho, et al.
Published: (2023-03-01)

On (<i>k</i>,<i>ψ</i>)-Hilfer Fractional Differential Equations and Inclusions with Mixed (<i>k</i>,<i>ψ</i>)-Derivative and Integral Boundary Conditions
by: Sotiris K. Ntouyas, et al.
Published: (2022-08-01)

Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions
by: Nuchpong Cholticha, et al.
Published: (2020-12-01)

Boundary value problems for Hilfer type sequential fractional differential equations and inclusions involving Riemann–Stieltjes integral multi-strip boundary conditions
by: Cholticha Nuchpong, et al.
Published: (2021-05-01)

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems
by: Samadi Ayub, et al.
Published: (2023-10-01)

Nonlocal integro-multistrip-multipoint boundary value problems for $ \overline{\psi}_{*} $-Hilfer proportional fractional differential equations and inclusions
by: Sotiris K. Ntouyas, et al.
Published: (2023-04-01)

Investigation of a Nonlinear Coupled (<i>k</i>, <i>ψ</i>)–Hilfer Fractional Differential System with Coupled (<i>k</i>, <i>ψ</i>)–Riemann–Liouville Fractional Integral Boundary Conditions
by: Ayub Samadi, et al.
Published: (2022-10-01)

Existence and uniqueness for fuzzy differential equation with Hilfer–Katugampola fractional derivative
by: Xingru Chen, et al.
Published: (2020-05-01)

Sequential Riemann–Liouville and Hadamard–Caputo Fractional Differential Systems with Nonlocal Coupled Fractional Integral Boundary Conditions
by: Chanakarn Kiataramkul, et al.
Published: (2021-07-01)

On the solutions of some fractional q-differential equations with the Riemann-Liouville fractional q-derivative
by: S. Shaimardan, et al.
Published: (2021-12-01)

Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions
by: Ayub Samadi, et al.
Published: (2024-04-01)

Nonlocal Integro-Multi-Point (<i>k</i>, <i>ψ</i>)-Hilfer Type Fractional Boundary Value Problems
by: Sotiris K. Ntouyas, et al.
Published: (2022-07-01)

Terminal Value Problem for Differential Equations with Hilfer–Katugampola Fractional Derivative
by: Mouffak Benchohra, et al.
Published: (2019-05-01)

On a Coupled Differential System Involving (<i>k</i>,<i>ψ</i>)-Hilfer Derivative and (<i>k</i>,<i>ψ</i>)-Riemann–Liouville Integral Operators
by: Ayub Samadi, et al.
Published: (2023-02-01)

Existence and uniqueness results for sequential ψ-Hilfer fractional pantograph differential equations with mixed nonlocal boundary conditions
by: Karim Guida, et al.
Published: (2021-05-01)

Sequential Riemann–Liouville and Hadamard–Caputo Fractional Differential Equation with Iterated Fractional Integrals Conditions
by: Sotiris K. Ntouyas, et al.
Published: (2021-10-01)

On ψ-Hilfer generalized proportional fractional operators
by: Ishfaq Mallah, et al.
Published: (2022-01-01)

Coupled systems of ψ-Hilfer generalized proportional fractional nonlocal mixed boundary value problems
by: Sunisa Theswan, et al.
Published: (2023-07-01)

Existence and Uniqueness of Solutions for Fractional Integro-Differential Equations Involving the Hadamard Derivatives
by: Nemat Nyamoradi, et al.
Published: (2022-08-01)

A Study of Coupled Systems of <i>ψ</i>-Hilfer Type Sequential Fractional Differential Equations with Integro-Multipoint Boundary Conditions
by: Ayub Samadi, et al.
Published: (2021-10-01)

Boundary Value Problems for <i>ψ</i>-Hilfer Type Sequential Fractional Differential Equations and Inclusions with Integral Multi-Point Boundary Conditions
by: Surang Sitho, et al.
Published: (2021-04-01)

Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense
by: Muath Awadalla, et al.
Published: (2024-03-01)