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August 19, 2026Journal of Innovative Science and Engineering (JISE)Open Access

The semi-analytical solutions of single-variable conformable fractional differential equations

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Authors

OKOnur KaraoğluÖSÖzlem Soylu

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Overview

Mathematical modeling study demonstrates conformable fractional differential transform methods on complex equations, highlighting expanded utility for oscillatory systems.

Key Points

  • To establish semi-analytical solutions for single-variable conformable fractional differential equations featuring uncommon and highly oscillatory terms using the conformable fractional differential transform method.
  • Adapted the standard differential transform method into the conformable fractional differential transform method (CFDTM).
  • Employed an inverse problem approach using highly oscillatory functions to generate complex equations with rarely documented terms.
  • Derived transformation conversion rules for non-standard terms within the conformable fractional framework.
  • Successfully established transformed rules and conversion equivalents for uncommon terms in conformable fractional differential equations.
  • Demonstrated that CFDTM effectively resolves complex, highly oscillatory single-variable fractional differential equations.

Cite This Study

Karaoğlu et al. (2026) studied this question.

synapsesocial.com/papers/6a8563ae03308d306e2d7006https://doi.org/10.38088/jise.1796433
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