Results 41 to 50 of about 19,827 (284)
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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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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Solution set for fractional differential equations with Riemann-Liouville derivative [PDF]
Fractional Calculus and Applied Analysis, 2013 We study an initial value problem for a fractional differential equation using the Riemann-Liouville fractional derivative. We obtain some topological properties of the solution set: It is the intersection of a decreasing sequence of compact nonempty contractible spaces.
Heriberto Román-Flores +4 more
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Demonstratio Mathematica, 2019 In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem.
M. Benchohra, S. Bouriah, J. Nieto
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Fractional Cauchy Problem with Riemann-Liouville Derivative on Time Scales [PDF]
Abstract and Applied Analysis, 2013 -Laplace transform, fractional -power function, -Mittag-Leffler function, fractional -integrals, and fractional -differential on time scales are defined. Some of their properties are discussed in detail. After then, by using Laplace transform method, the existence of the solution and the dependency of the solution upon the initial value for Cauchy-type
Ling Wu, Jiang Zhu
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Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative [PDF]
Journal of Mathematics, 2021 In this paper, we present the necessary conditions where integral-type fractional equations with a proportional Riemann–Liouville derivative have a unique solution. Also, we give an example to illustrate our work.
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Advances in Difference Equations, 2018 Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab +2 more
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Periodic boundary value problems for nonlinear impulsive fractional differential equation [PDF]
, 2011 In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction ...
Bai, Chuanzhi, Wang, Xiaojing
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