Compactness Results on Integro-Differential Equations Involving $\Psi$-Hilfer Fractional Derivative

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Authors

  • P. Karthikeyan Department of Mathematics, Sri vasavi college, Erode, Tamil Nadu, India Author
  • K. Karthikeyan Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore - 641 407, Tamil Nadu, India Author
  • D. Baleanu Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Eskisehir Yolu 29. Km, Turkey Author

DOI:

https://doi.org/10.5890/DNC.2023.09.010

Abstract

We analyze the existence results of fractional integro-differential equations via $\Psi$-Hilfer fractional derivative with nonlocal multi-point condition by using Schauder fixed point theorem. To establish the sufficient conditions for compactness of operators and an example is also discussed.

References

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PublishedSeptember 2023

Usage tracking begins September 1, 2026.

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How to Cite

Karthikeyan, P., Karthikeyan, K., & Baleanu, D. (2026). Compactness Results on Integro-Differential Equations Involving $\Psi$-Hilfer Fractional Derivative. Discontinuity, Nonlinearity, and Complexity, 12(3), 631-642. https://doi.org/10.5890/DNC.2023.09.010