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Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

Author

Listed:
  • Gunaseelan Mani
  • Vasu Lakshmanan
  • Abdul Razak Kachu Mohideen
  • Homan Emadifar

Abstract

The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals. A fixed‐point approach has served to study both existence and uniqueness aspects of solutions for the proposed model. The paper investigates Hyers–Ulam stability properties of the developed solution. An appropriate example was provided to confirm the theoretical findings.

Suggested Citation

  • Gunaseelan Mani & Vasu Lakshmanan & Abdul Razak Kachu Mohideen & Homan Emadifar, 2025. "Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral," International Journal of Differential Equations, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnijde:v:2025:y:2025:i:1:n:1202608
    DOI: 10.1155/ijde/1202608
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    References listed on IDEAS

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    1. Fazli, Hossein & Nieto, Juan J., 2018. "Fractional Langevin equation with anti-periodic boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 332-337.
    2. Wang, JinRong & Li, Xuezhu, 2015. "Ulam–Hyers stability of fractional Langevin equations," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 72-83.
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