Unique solvability of fractional functional differential equation on the basis of Vallée-Poussin theorem [PDF]
, 2023 summary:We propose explicit tests of unique solvability of two-point and focal boundary value problems for fractional functional differential equations with Riemann-Liouville ...
Domoshnitsky, Alexander +3 more
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NUMERICAL SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS VIA LAPLACE TRANSFORM [PDF]
, 2021 In this study, solutions of time-space fractional partial differential equations(FPDEs) are obtained by utilizing the Shehu transform iterative method.
Demir, Ali, Çetinkaya, Süleyman
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Advances in Nonlinear Analysis, 2017 In this paper, we present a new method for converting boundary value problems of impulsive fractional differential equations to integral equations. Applications of this method are given to solve some types of anti-periodic boundary value problems for ...
Liu Yuji
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Existence and stability of fractional differential equations involving generalized Katugampola derivative [PDF]
, 2020 The present article deals with the existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative.
BHAIRAT, Sandeep P.
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Hamilton’s Principle with Variable Order Fractional Derivatives [PDF]
, 2011 MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation ...
Atanackovic, Teodor, Pilipovic, Stevan
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Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments [PDF]
, 2011 In this paper, we investigate the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments.
Guotao Wang +2 more
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SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]
, 2021 In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional
Ahmad, Hijaz, Gaber, Ahmed
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Existence and continuous dependence of mild solutions for fractional abstract differential equations with infinite delay [PDF]
, 2012 In this paper, we prove the existence, uniqueness, and continuous dependence of the mild solutions for a class of fractional abstract differential equations with infinite delay.
Gao, Jianming, Liu, Jiao, Ye, Haiping
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On the Invalidity of Fourier Series Expansions of Fractional Order
, 2015 The purpose of this short paper is to show the invalidity of a Fourier series expansion of fractional order as derived by G. Jumarie in a series of papers.
Massopust, Peter, Zayed, Ahmed I.
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Resolvent estimates in homogenisation of periodic problems of fractional elasticity [PDF]
, 2017 We provide operator-norm convergence estimates for solutions to a time-dependent equation of fractional elasticity in one spatial dimension, with rapidly oscillating coefficients that represent the material properties of a viscoelastic composite medium ...
Cherednichenko, Kirill, Waurick, Marcus
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