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Open accessJournalISSN: 1687-1839

Advances in Difference Equations

About: Advances in Difference Equations is an academic journal. The journal publishes majorly in the area(s): Ordinary differential equation & Partial differential equation. It has an ISSN identifier of 1687-1839. It is also open access. Over the lifetime, 4750 publication(s) have been published receiving 44916 citation(s). more


Open accessJournal ArticleDOI: 10.1186/S13662-017-1306-Z
Abstract: 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. more

227 Citations

Open accessJournal ArticleDOI: 10.1186/1687-1847-2013-1
Burak Kurt1, Yilmaz Simsek1Institutions (1)
Abstract: The aim of this paper is to derive some new identities related to the Frobenius-Euler polynomials. We also give relation between the generalized Frobenius-Euler polynomials and the generalized Hurwitz-Lerch zeta function at negative integers. Furthermore, our results give generalized Carliz’s results which are associated with Frobenius-Euler polynomials. MSC:05A10, 11B65, 28B99, 11B68. more

224 Citations

Open accessJournal ArticleDOI: 10.1155/2009/981728
Abstract: We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative. Our approach is based on the -semigroups theory combined with some suitable fixed point theorems. more

Topics: Fractional calculus (59%), C0-semigroup (56%), Stochastic partial differential equation (56%) more

220 Citations

Open accessJournal ArticleDOI: 10.1186/1687-1847-2012-142
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 properties of the modified derivatives are studied. more

Topics: Fractional calculus (61%), Hadamard transform (53%)

213 Citations

Open accessJournal ArticleDOI: 10.1186/1687-1847-2012-1
Yong Liu1, Yong Liu2, Xiaoguang Qi3, Hongxun Yi2Institutions (3)
Abstract: This article is devoted to studying uniqueness of difference polynomials sharing values. The results improve those given by Liu and Yang and Heittokangas et al. more

Topics: Difference polynomials (67%), Uniqueness (51%)

197 Citations

No. of papers from the Journal in previous years

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Journal's top 5 most impactful authors

Dumitru Baleanu

191 papers, 5K citations

Thabet Abdeljawad

80 papers, 1.7K citations

Shahram Rezapour

63 papers, 1.2K citations

Taekyun Kim

60 papers, 501 citations

Ravi P. Agarwal

59 papers, 1.1K citations

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