OpenAlex 2,169 works 117 author topics
Works
2,169 works
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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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The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions
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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…
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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…
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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…
Academicians
117 academicians
- SERKAN ARACI 101 author topics
- İMDAT İŞCAN 95 author topics
- MEHMET AÇIKGÖZ 82 author topics
- UĞUR DURAN 60 author topics
- BAYRAM ÇEKİM 50 author topics
- RABİA AKTAŞ KARAMAN 49 author topics
- HÜSEYİN YILDIRIM 46 author topics
- AHMET OCAK AKDEMİR 37 author topics
- FAHREDDİN ABDULLAYEV 34 author topics
- MEHMET KUNT 30 author topics
- ALİ ARAL 28 author topics
- TELHAT ÖZDOĞAN 28 author topics