Mathematical functions and polynomials

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• MEHMET ZEKİ SARIKAYA

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• MEHMET ZEKİ SARIKAYA

Abstract Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this article, a Caputo-type modification of Hadamard fractional derivatives is introduced. The p…

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Özet henüz yok.

Özet henüz yok.

• ALİ AKGÜL

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• ALİ AKGÜL

The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions

• İMDAT İŞCAN

The Caputo fractional derivative has been one of the most useful operators for modelling non-local behaviours by fractional differential equations. It is defined, for a differentiable function f ( t ) , by a fractional integral operator applied to the derivative f ′ ( t ) . We define a new fractional operator by subst…

• ALİ AKGÜL
• ESRA KARATAŞ AKGÜL

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In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity.With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of Hermite-Hadamard-type inequalities for Riemann-Liouville fractional in…

• HÜSEYİN YILDIRIM
• MEHMET ZEKİ SARIKAYA

Abstract This paper is devoted to the study of Caputo modification of the Hadamard fractional derivatives. From here and after, by Caputo-Hadamard derivative, we refer to this modified fractional derivative (Jarad et al. in Adv. Differ. Equ. 2012:142, 2012, p.7). We present the generalization of the fundamental theore…