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April 4, 2026MathematicsOpen Access

On Sequential Coupled Caputo-Type Fractional Differential Inclusions with Coupled Boundary Conditions: A Multivalued Fixed-Point Approach

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Authors

MMManigandan MurugesanSSSaravanan ShanmugamSESekar Elango

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Overview

Demonstrates the existence of solutions for coupled fractional differential inclusions, highlighting new theoretical insights.

Key Points

  • To explore the existence of solutions for coupled fractional differential inclusions under specific boundary conditions.
  • Utilized Carathéodory-type assumptions for analysis
  • Applied Leray–Schauder nonlinear alternative
  • Employed the Covitz–Nadler fixed-point theorem for multivalued mappings
  • Considered both convex and non-convex set-valued nonlinearities
  • Established several corollaries based on the main findings
  • Demonstrated practical applicability of the theoretical results through an example
  • Broadened the scope of results by accommodating various nonlinearities

Cite This Study

Murugesan et al. (2026) studied this question.

synapsesocial.com/papers/69d0aefd659487ece0fa4dc1https://doi.org/10.3390/math14071193
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