Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Recent Advances in Special Functions, Fractional Operators and Their Real World Applications(Cambridge Scientific Publishers, 2021) Singh, J.; Baleanu, Dumitru; Baleanu, D.; Kumar, D.; Hammouch, Z.; MatematikThis special issue ”Recent Advances in Special Functions, Fractional Operators and their Real World Applications” of the journal Mathematics in Engineering, Science and Aerospace (MESA) is mainly collection of the research articles presented in 3rd International Conference on Mathematical Mod-elling, Applied Analysis and Computation (ICMMAAC-20) organized by the Department of Mathe-matics, JECRC University, Jaipur, India during August 7-9, 2020. This collection of articles is mainly concerned to address a wide range of special functions, operators of fractional order and their uses in mathematical modelling and computation of distinct problems of physical sciences, chemical sci-ences, biological sciences, engineering sciences, social science and economics. In the this special is-sue, expository and original research papers associated with the new trends and challenges in special functions and fractional order calculus and as well as their uses in real world problems are collected. Some are invited papers. © CSP - Cambridge, UK; I&S - Florida, USA, 2021Article Citation - WoS: 11Citation - Scopus: 12On the Generalized Stieltjes Transform of Fox's Kernel Function and Its Properties in the Space of Generalized Functions(Eudoxus Press, Llc, 2017) Al-Omari, Shrideh Khalaf Qasem; Baleanu, Dumitru; Baleanu, Dumitru; MatematikIn this paper, a Stieltjes transform enfolding some Fox's H-function has been investigated on certain class of generalized functions named as Boehmians. By developing two spaces of Boehmians, the extended transform has been inspected and some general properties are also obtained. An inverse problem is also discussed in some detail.Article Citation - WoS: 12Citation - Scopus: 15Quaternion Fourier Integral Operators for Spaces of Generalized Quaternions(Wiley, 2018) Baleanu, D.; Al-Omari, Shrideh K. Q.This article aims to discuss a class of quaternion Fourier integral operators on certain set of generalized functions, leading to a method of discussing various integral operators on various spaces of generalized functions. By employing a quaternion Fourier integral operator on points closed to the origin, we introduce convolutions and approximating identities associated with the Fourier convolution product and derive classical and generalized convolution theorems. Working on such identities, we establish quaternion and ultraquaternion spaces of generalized functions, known as Boehmians, which are more general than those existed on literature. Further, we obtain some characteristics of the quaternion Fourier integral in a quaternion sense. Moreover, we derive continuous embeddings between the classical and generalized quaternion spaces and discuss some inversion formula as well.