Nonlinear Differential Equations Analysis

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• THABET ABDELJAWAD

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.

• EKİN UĞURLU

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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• TOFIGH ALLAHVIRANLOU

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• TOFIGH ALLAHVIRANLOU

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• SEVGİ ŞENGÜL AYAN

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• ALİ AKGÜL

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• ALİ AKGÜL

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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• TOFIGH ALLAHVIRANLOU

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• TOFIGH ALLAHVIRANLOU