Caputo Fractional Derivatives in Nonlinear Programming Problems
DOI:
https://doi.org/10.2298/YJOR231015009PKeywords:
Caputo fractional derivative, Convexity with fractional order derivatives, KKT conditions, OptimalityAbstract
Convexity with respect to Caputo fractional derivative is introduced and applied in general nonlinear programming problems. The Karush Kuhn Tucker (KKT) conditions are developed and the sufficient optimality conditions are established. The consequences of the new findings are discussed and counterexamples are presented to validate the present investigation.
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