On the solutions of a nonlinear system of q-difference equations

Turan, Nihan; Başarır, Metin; Şahin, Aynur

doi:10.1186/s13661-024-01896-6

Bound Value Probl

2024

DOI: 10.1186/s13661-024-01896-6

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On the solutions of a nonlinear system of q-difference equations

Nihan Turan,

Metin Başarır,

Aynur Şahin

Abstract: In this paper, we examine the existence and uniqueness of solutions for a system of the first-order q-difference equations with multi-point and q-integral boundary conditions using various fixed point (fp) theorems. Also, we give two examples to support our results.

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The Well-Posedness of Incommensurate FDEs in the Space of Continuous Functions

Shiri,

Shi,

Baleanu

2024

Symmetry

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A system of fractional differential equations (FDEs) with fractional derivatives of diverse orders is called an incommensurate system of FDEs. In this paper, the well-posedness of the initial value problem for incommensurate systems of FDEs is obtained on the space of continuous functions. Three different methods for this analysis are used and compared. The complexity of such analysis is reduced by new techniques. Strong existence results are obtained by weaker conditions. The uniqueness and the continuous dependency of the solution on initial values are investigated using the Gronwall inequality.

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The Well-Posedness of Incommensurate FDEs in the Space of Continuous Functions

Shiri,

Shi,

Baleanu

2024

Symmetry

View full text Add to dashboard Cite

show abstract

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On the solutions of a nonlinear system of q-difference equations

Abstract: In this paper, we examine the existence and uniqueness of solutions for a system of the first-order q-difference equations with multi-point and q-integral boundary conditions using various fixed point (fp) theorems. Also, we give two examples to support our results.

Cited by 1 publication

References 26 publications

The Well-Posedness of Incommensurate FDEs in the Space of Continuous Functions

The Well-Posedness of Incommensurate FDEs in the Space of Continuous Functions

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