Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem [PDF]
, 2014 By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under ...
Zhiguo Luo, Jing Xiao, Wenzhe Xie
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Extended Riemann-Liouville fractional derivative operator and its applications [PDF]
, 2015 Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen +2 more
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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 Summary: 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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Analysis of nonlinear fractional diffusion equations with a Riemann-liouville derivative
Evolution Equations & Control Theory, 2022 <p style='text-indent:20px;'>In this paper, we consider a nonlinear fractional diffusion equations with a Riemann-Liouville derivative. First, we establish the global existence and uniqueness of mild solutions under some assumptions on the input data.
Ngoc, Tran Bao +3 more
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Fractional variational problems depending on indefinite integrals
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Extended Riemann-Liouville type fractional derivative operator with applications [PDF]
, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Nieto Juan J., Agarwal P., Luo M.-J.
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Geometry of curves with Riemann-Liouville fractional derivative
, 2023 Yüksek LisansBu tez çalışmasında Riemann-Liouville kesirli türev operatörü yardımıyla ?^2 ve ?^3 uzayında eğrilerin diferansiyel geometrisi çalışılmıştır.
Arslan, Fatma
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Fractional Cauchy Problem with Riemann-Liouville Derivative on Time Scales [PDF]
Abstract and Applied Analysis, 2013 Summary: \(\nabla\)-Laplace transform, fractional \(\nabla\)-power function, \(\nabla\)-Mittag-Leffler function, fractional \(\nabla\)-integrals, and fractional \(\nabla\)-differential on time scales are defined. Some of their properties are discussed in detail.
Ling Wu, Jiang Zhu
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On the solutions of some fractional q-differential equations with the Riemann-Liouville fractional q-derivative [PDF]
, 2021 This paper is devoted to explicit and numerical solutions to linear fractional q-difference equations and the Cauchy type problem associated with the Riemann-Liouville fractional q-derivative in q-calculus.
S. Shaimardan +2 more
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Extension of the fractional derivative operator of the Riemann-Liouville
The Journal of Nonlinear Sciences and Applications, 2017 Summary: By using the generalized beta function, we extend the fractional derivative operator of the Riemann-Liouville and discusses its properties. Moreover, we establish some relations to extended special functions of two and three variables via generating functions.
Baleanu, Dumitru +4 more
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