Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions

Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions

In this paper, we study the existence of nontrivial solutions for a system of fractional <i>q</i>-difference equations involving <i>q</i>-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue of some...

Full description

Bibliographic Details
Main Authors:	Yaohong Li, Jie Liu, Donal O’Regan, Jiafa Xu
Format:	Article
Language:	English
Published:	MDPI AG 2020-05-01
Series:	Mathematics
Subjects:	fractional <i>q</i>-difference equations <i>q</i>-integral boundary conditions topological degree nontrivial solutions
Online Access:	https://www.mdpi.com/2227-7390/8/5/828

Similar Items

Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives
by: Zhengqing Fu, et al.
Published: (2019-04-01)

Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem
by: Keyu Zhang, et al.
Published: (2023-02-01)

Corrigendum to "Nontrivial solutions for fractional $q$-difference boundary value problems" [Electron. J. Qual. Theory Differ. Equ. 2010, No. 70, 1–10]
by: Rui Ferreira
Published: (2019-06-01)

Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
by: Keyu Zhang, et al.
Published: (2018-10-01)

On Periodic Fractional (<i>p</i>, <i>q</i>)-Integral Boundary Value Problems for Sequential Fractional (<i>p</i>, <i>q</i>)-Integrodifference Equations
by: Jarunee Soontharanon, et al.
Published: (2021-10-01)

Separate Fractional (<i>p</i>,<i>q</i>)-Integrodifference Equations via Nonlocal Fractional (<i>p</i>,<i>q</i>)-Integral Boundary Conditions
by: Thongchai Dumrongpokaphan, et al.
Published: (2021-11-01)

On Fractional <i>q</i>-Extensions of Some <i>q</i>-Orthogonal Polynomials
by: P. Njionou Sadjang, et al.
Published: (2020-08-01)

Positive Solutions for a System of Fractional <i>q</i>-Difference Equations with Multi-Point Boundary Conditions
by: Rodica Luca
Published: (2024-01-01)

On Solvability of Fractional (<i>p</i>,<i>q</i>)-Difference Equations with (<i>p</i>,<i>q</i>)-Difference Anti-Periodic Boundary Conditions
by: Ravi P. Agarwal, et al.
Published: (2022-11-01)

Some Results on the <i>q</i>-Calculus and Fractional <i>q</i>-Differential Equations
by: Ying Sheng, et al.
Published: (2021-12-01)

Positive Solutions for a Class of Integral Boundary Value Problem of Fractional <i>q</i>-Difference Equations
by: Shugui Kang, et al.
Published: (2022-11-01)

Boundary Value Problem for a Coupled System of Nonlinear Fractional <i>q</i>-Difference Equations with Caputo Fractional Derivatives
by: Saleh S. Redhwan, et al.
Published: (2024-01-01)

Generalized <i>q</i>-Difference Equations for <i>q</i>-Hypergeometric Polynomials with Double <i>q</i>-Binomial Coefficients
by: Jian Cao, et al.
Published: (2022-02-01)

Existence Theory for a Fractional <i>q</i>-Integro-Difference Equation with <i>q</i>-Integral Boundary Conditions of Different Orders
by: Sina Etemad, et al.
Published: (2019-07-01)

Triple-Positive Solutions for a Nonlinear Singular Fractional <i>q</i>-Difference Equation at Resonance
by: Changlong Yu, et al.
Published: (2022-11-01)

A Numerical Approach to Solve the <i>q</i>-Fractional Boundary Value Problems
by: Ying Sheng, et al.
Published: (2022-04-01)

Applications of <i>q</i>-Real Numbers to Triple <i>q</i>-Hypergeometric Functions and <i>q</i>-Horn Functions
by: Thomas Ernst
Published: (2023-05-01)

Existence and Uniqueness Results for Fractional (<i>p</i>, <i>q</i>)-Difference Equations with Separated Boundary Conditions
by: Pheak Neang, et al.
Published: (2022-02-01)

Fractional (<i>p</i>,<i>q</i>)-Calculus on Finite Intervals and Some Integral Inequalities
by: Pheak Neang, et al.
Published: (2021-03-01)

Fractional <i>q</i>-Calculus Operators Pertaining to the <i>q</i>-Analogue of <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">M</mi></mrow></semantics></math></inline-formula>-Function and Its Application to Fractional <i>q</i>-Kinetic Equations
by: Biniyam Shimelis, et al.
Published: (2024-01-01)

Some New Applications of the <i>q</i>-Analogous of Differential and Integral Operators for New Subclasses of <i>q</i>-Starlike and <i>q</i>-Convex Functions
by: Suha B. Al-Shaikh, et al.
Published: (2023-05-01)

A Note on Generalized <i>q</i>-Difference Equations and Their Applications Involving <i>q</i>-Hypergeometric Functions
by: Hari M. Srivastava, et al.
Published: (2020-11-01)

A <i>q</i>-Difference Equation and Fourier Series Expansions of <i>q</i>-Lidstone Polynomials
by: Maryam Al-Towailb
Published: (2022-04-01)

New Applications of Fractional <i>q</i>-Calculus Operator for a New Subclass of <i>q</i>-Starlike Functions Related with the Cardioid Domain
by: Mohammad Faisal Khan, et al.
Published: (2024-01-01)

On Starlike Functions of Negative Order Defined by <i>q</i>-Fractional Derivative
by: Sadia Riaz, et al.
Published: (2022-01-01)

Some Applications of Analytic Functions Associated with <i>q</i>-Fractional Operator
by: Nazar Khan, et al.
Published: (2023-02-01)

Duality on <i>q</i>-Starlike Functions Associated with Fractional <i>q</i>-Integral Operators and Applications
by: Ebrahim Amini, et al.
Published: (2022-10-01)

On a Certain Subclass of <i>p</i>-Valent Analytic Functions Involving <i>q</i>-Difference Operator
by: Abdel Moneim Y. Lashin, et al.
Published: (2022-12-01)

Nonlocal Boundary Value Problems of Nonlinear Fractional (<i>p</i>,<i>q</i>)-Difference Equations
by: Pheak Neang, et al.
Published: (2021-12-01)

Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials
by: Waseem Ahmad Khan, et al.
Published: (2023-01-01)

The Complementary <i>q</i>-Lidstone Interpolating Polynomials and Applications
by: Zeinab Mansour, et al.
Published: (2020-06-01)

Existence of Solutions for a Singular Fractional <i>q</i>-Differential Equations under Riemann–Liouville Integral Boundary Condition
by: Mohammad Esmael Samei, et al.
Published: (2021-07-01)

Infinitely Many Solutions for the Fractional <i>p</i>&<i>q</i>-Laplacian Problems in <i>R</i><sup>N</sup>
by: Liyan Wang, et al.
Published: (2022-11-01)

Certain <i>q</i>-Analogue of Fractional Integrals and Derivatives Involving Basic Analogue of the Several Variable Aleph-Function
by: Dinesh Kumar, et al.
Published: (2023-01-01)

Solutions to Fractional <i>q</i>-Kinetic Equations Involving Quantum Extensions of Generalized Hyper Mittag-Leffler Functions
by: Mohammed Z. Alqarni, et al.
Published: (2024-01-01)

On <i>q</i>-Hermite-Hadamard Inequalities via <i>q</i> − <i>h</i>-Integrals
by: Yonghong Liu, et al.
Published: (2022-12-01)

Applications of Generalized <i>q</i>-Difference Equations for General <i>q</i>-Polynomials
by: Zeya Jia, et al.
Published: (2021-07-01)

A Study of Some Families of Multivalent <i>q</i>-Starlike Functions Involving Higher-Order <i>q</i>-Derivatives
by: Bilal Khan, et al.
Published: (2020-09-01)

On (<i>p</i>, <i>q</i>)-Sine and (<i>p</i>, <i>q</i>)-Cosine Fubini Polynomials
by: Waseem Ahmad Khan, et al.
Published: (2022-03-01)

Properties for a Certain Subclass of Analytic Functions Associated with the Salagean <i>q</i>-Differential Operator
by: Abdel Moneim Y. Lashin, et al.
Published: (2023-10-01)