What question did this study set out to answer?

The research aims to investigate a nonlinear coupled system with Caputo difference operators and establish existence, uniqueness, and stability of its solutions.

August 6, 2026MathematicsOpen Access

A Coupled Discrete Fractional Difference System with a New Class of Coupled Multi-Point Closed Boundary Conditions

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The research aims to investigate a nonlinear coupled system with Caputo difference operators and establish existence, uniqueness, and stability of its solutions.
Utilized fixed-point theorem to confirm existence and uniqueness solutions under specified conditions.
Analyzed system stability through Hyers–Ulam stability approach with sufficient limitations.
Conducted numerical simulations for different fractional orders to assess dynamics influenced by memory effects.
Demonstrated existence and uniqueness of solutions under novel boundary conditions.
Found stability conditions ensuring reliable outcomes for the nonlinear system.
Verified a financial discrete coupled system through numerical methods, highlighting how varying fractional orders affect solution dynamics.

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Implication

Randomized trial examines stability in a non-linear coupled system, indicating memory effects influence outcomes.

Cite This Study

Reem Alrebdi (2026) studied this question.

synapsesocial.com/papers/6a7437f4764cddc9499d5bf5 https://doi.org/10.3390/math14152797

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A Coupled Discrete Fractional Difference System with a New Class of Coupled Multi-Point Closed Boundary Conditions

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Discussion

Implication

Cite This Study

A Coupled Discrete Fractional Difference System with a New Class of Coupled Multi-Point Closed Boundary Conditions

Key Points

Discussion

Implication

Cite This Study

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