OpenAlex 6,946 works 352 author topics
Works
6,946 works
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YÖKSİS
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OpenAlex 99.3%
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YÖKSİS
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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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OpenAlex 93.6%
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OpenAlex 94.1%
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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YÖKSİS
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OpenAlex 99.5%
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YÖKSİS
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OpenAlex 99.5%
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OpenAlex 93.5%
We consider a one-dimensional fractional diffusion equation: ∂ α t u(x, t) = ∂ ∂x p(x) ∂u ∂x (x, t) , 0 < x < ℓ, where 0 < α < 1 and ∂ α t denotes the Caputo derivative in time of order α.We attach the homogeneous Neumann boundary condition at x = 0, ℓ and the initial value given by the Dirac delta function.We prove t…
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YÖKSİS
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OpenAlex 99.1%
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OpenAlex 99.1%
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OpenAlex 99.9%
In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives and apply this transform to solve some ordinary…
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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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OpenAlex 98.9%
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Academicians
352 academicians
- AHMET YILDIRIM 248 author topics
- FAHD JARAD 232 author topics
- JEHAD ALZABUT 198 author topics
- HACI MEHMET BAŞKONUŞ 193 author topics
- TOFIGH ALLAHVIRANLOU 157 author topics
- ŞUAYİP YÜZBAŞI 117 author topics
- MASAHİRO YAMAMOTO 91 author topics
- MEHMET YAVUZ 89 author topics
- AYDIN SEÇER 80 author topics
- MEHMET MERDAN 78 author topics
- ORKUN TAŞBOZAN 73 author topics
- SEDA İĞRET ARAZ 73 author topics