OpenAlex 3,234 works 153 author topics
Works
3,234 works
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This manuscript is based on the standard fractional calculus iteration procedure on conformable derivatives. We introduce new fractional integration and differentiation operators. We define spaces and present some theorems related to these operators.
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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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On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative 2018OpenAlex top 1% OpenAlex 99.8%
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In this manuscript, we define the generalized fractional derivative on \(AC^n_\gamma [a, b]\), the space of functions defined on [a, b] such that \(\gamma^{n-1}f\in AC[a, b]\), where \(\gamma=x^{1-p}\frac{d}{dx}\). We present some of the properties of generalized fractional derivatives of these functions and then we d…
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Academicians
153 academicians
- JEHAD ALZABUT 188 author topics
- FAHD JARAD 146 author topics
- TOFIGH ALLAHVIRANLOU 97 author topics
- BAŞAK KARPUZ 82 author topics
- OSMAN TUNÇ 71 author topics
- MARAT AKHMET 68 author topics
- İLKAY KARACA 49 author topics
- ABDULLAH ÖZBEKLER 48 author topics
- ZEYNEP KAYAR 45 author topics
- BİLLUR KAYMAKÇALAN 41 author topics
- FATİH HEZENCİ 35 author topics
- HÜSEYİN YILDIRIM 35 author topics