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July 25, 2025Open Access

Existence of Solutions to Fractional Differential Inclusions with Non-Separated and Multipoint Boundary Constraints

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Authors

AAAHSAN ABBASUniversity of SargodhaAAAkbar AzamOklahoma State UniversityNMNayyar MehmoodInternational Islamic University, Islamabad

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Overview

Analysis reveals existence of solutions in fractional differential inclusions with multipoint boundary conditions, suggesting broad practical applications.

Key Points

  • MAIN FINDING: Solutions exist for fractional differential inclusions with complex boundary conditions.
  • KEY EVIDENCE: The Bohnenblust–Karlin fixed point theorem supports the existence claims.
  • APPROACH: The study uses fractional derivatives and set-valued differential inclusions to model real-world phenomena.
  • SIGNIFICANCE: This work expands the understanding of boundary conditions in fractional calculus, improving modeling accuracy.

Cite This Study

ABBAS et al. (2025) studied this question.

synapsesocial.com/papers/689a0933e6551bb0af8ce303https://doi.org/10.20944/preprints202507.1950.v1
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