Solution of Fractional Order Equations in the Domain of the Mellin Transform
Journal of Nigerian Society of Physical Sciences, 2019 This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
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New existence results for fractional differential equations in a weighted Sobolev space [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2021 In this paper, we give some conditions to prove the existence of solutions for a nonlinear boundary value problem of fractional differential equations with higher order q, (n-1 ...
Ahmed Hallaci +3 more
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Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives
Известия Иркутского государственного университета: Серия "Математика", 2021 The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for
M. M. Turov, V.E. Fedorov, B.T. Kien
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Fractional variational iteration method and its application to fractional partial differential equation [PDF]
, 2013 We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models. The fractional derivatives are described in Riemann-Liouville sense.
Elbeleze, Asma Ali +2 more
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On a certain extension of the Riemann-Liouville fractional derivative operator [PDF]
arXiv: Classical Analysis and ODEs, 2018 15
Nisar Sooppy Kottakkaran Sooppy +3 more
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Fractional Derivative as Fractional Power of Derivative [PDF]
International Journal of Mathematics. Vol.18. No.3. (2007) 281-299, 2007 Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator.
arxiv +1 more source
An alternative definition for the k-Riemann-Liouville fractional derivative [PDF]
Applied Mathematical Sciences, 2015 Fil: Dorrego, Gustavo Abel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matematica; Argentina.
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Analysis of fractional differential systems involving Riemann Liouville fractional derivative
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 This paper is devoted to studying the multiple positive solutions for a system of nonlinear fractional boundary value problems. Our analysis is based upon the Avery Peterson fixed point theorem. in addition, we include an example for the demonstration of our main result.
Batik, Songül, Deren, Fulya Yörük
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A possible generalization of acoustic wave equation using the concept of perturbed derivative order [PDF]
, 2013 The standard version of acoustic wave equation is modified using the concept of the generalized Riemann-Liouville fractional order derivative. Some properties of the generalized Riemann-Liouville fractional derivative approximation are presented.
Atangana, Abdon, Kilicman, Adem
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Extended Jacobi Functions via Riemann-Liouville Fractional Derivative [PDF]
Abstract and Applied Analysis, 2013 By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials. Also, we derive fractional differential equation of generalized extended Jacobi functions.
Bayram Çekim, Esra Erkuş-Duman
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