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May 16, 2026Mathematical Methods in the Applied Sciences0 citations

Maximum Principles for a Caputo–Katugampola Fractional Differential Equation in a Network

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JCJ. CaballeroJHJ. HarjaniKSK. Sadarangani

Key Points

  • The central aim is to establish extremum principles for Caputo–Katugampola fractional differential equations in network contexts.
  • Analyzed fractional differential equations using the Caputo–Katugampola derivative.
  • Proved results on the uniqueness of solutions based on initial conditions.
  • Investigated the continuity of solutions in relation to initial data.
  • Demonstrated extremum principles applicable to the fractional differential equations.
  • Established the uniqueness of solutions under defined initial data conditions.
  • Confirmed continuity of solutions influenced by initial parameters.

Abstract

ABSTRACT In this article, we obtain some extremum principles for a fractional differential equation involving the Caputo–Katugampola derivative of order in a network. Moreover, we prove results about the uniqueness and continuity of solutions with respect to the initial data.

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Cite This Study

Caballero et al. (2026) studied this question.

synapsesocial.com/papers/6a0809bea487c87a6a40b95bhttps://doi.org/10.1002/mma.70790
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