Geodesic
Caputo fractional derivatives and inequalities via preinvex stochastic processes
Filomat, Tome 37 (2023) no. 19, p. 6569

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DOI

In the present paper, we present some Hermite-Hadamard type inequalities for preinvex stochastic process using the Caputo fractional derivatives. Using preinvexity of |X (n) | k , k ≥ 1 we find the estimates of the difference of the fractional differential inequality. Some special results that reduced from our findings have also been considered.
DOI : 10.2298/FIL2319569R
Classification : 26D10, 26A51, 26D15
Keywords: Convex function, Preinvex functions, Caputo fractional derivatives, Stochastic process, Hermite-Hadamard inequality 
Saima Rashid; Muhammad Aslam Noor; Khalida Inayat Noor. Caputo fractional derivatives and inequalities via preinvex stochastic processes. Filomat, Tome 37 (2023) no. 19, p. 6569 . doi: 10.2298/FIL2319569R
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     title = {Caputo fractional derivatives and inequalities via preinvex stochastic processes},
     journal = {Filomat},
     pages = {6569 },
     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2319569R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319569R/}
}
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