We add a theorem to [J. Differential Equations 257 (2014), no. 3, 720--758] by F. Achleitner, C.M. Cuesta and S. Hittmeir. In that paper we studied travelling wave solutions of a Korteweg-de Vries-Burgers type equation with a non-local diffusion term. In
Achleitner, Franz, Cuesta, Carlota M.
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On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
In this paper, three fundamental and important Riemann-Liouville fractional integral identities including a twice differentiable mapping are established. Secondly, some interesting Hermite-Hadamard type inequalities involving Riemann-Liouville fractional
Yuruo Zhang, Jinrong Wang
semanticscholar +1 more source
Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in modeling various complex phenomena. Because of the several applications of FPIDEs in applied sciences, mathematicians have taken a keen interest in developing and ...
Khan Qasim+4 more
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On Multi-Dimensional Random Walk Models Approximating Symmetric Space-Fractional Diffusion Processes [PDF]
Mathematics Subject Classification: 26A33, 47B06, 47G30, 60G50, 60G52, 60G60.In this paper the multi-dimensional analog of the Gillis-Weiss random walk model is studied.
Gorenflo, Rudolf, Umarov, Sabir
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A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation
In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with
Eghbali Nasrin+2 more
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Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]
Li C.
europepmc +1 more source
Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method [PDF]
Mathematics Subject Classi¯cation 2010: 26A33, 65D25, 65M06, 65Z05.In the present paper we solve space-time fractional diffusion-wave equation with two space variables, using the matrix method.
Garg, Mridula, Manohar, Pratibha
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Numerical treatments for the optimal control of two types variable-order COVID-19 model. [PDF]
Sweilam N+3 more
europepmc +1 more source
Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Chu YM+6 more
europepmc +1 more source
Richards's curve induced Banach space valued ordinary and fractional neural network approximation. [PDF]
Anastassiou GA, Karateke S.
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