Fractional calculus for continuum mechanics – anisotropic non-locality

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Spectral problems for fractional differential equations from nonlocal continuum mechanics

*Correspondence: [email protected] School of Mathematics and Statistics, Shandong University, Weihai, Shandong 264209, P.R. China Abstract This paper studies the spectral problem of a class of fractional differential equations from nonlocal continuummechanics. By applying the spectral theory of compact self-adjoint operators in Hilbert spaces, we show that the spectrum of this problem consists of ...

متن کامل

Fractional models, non-locality, and complex systems

In this paper, a new approach to the deterministic modelling of dynamics of certain processes in an anomalous environment is proposed. To this end, the standard assumptions that are usually justified by the experiments and led to the classical dynamics models are rewritten in the way that takes into consideration the non-local features of the anomalous environment. The new class ofmodels obtain...

متن کامل

Counterfactuals and Non-locality of Quantum Mechanics

In the paper the proof of the non-locality of quantum mechanics, given recently by H. Stapp and D. Bedford, and appealing to the GHZ example, is analyzed. The proof does not contain any explicit assumption of realism, but instead it uses formal methods and techniques of the Lewis calculus of counterfactuals. To ascertain the validity of the proof, a formal semantic model for counterfactuals is ...

متن کامل

Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus

In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.

متن کامل

A Fractional Calculus Approach to the Mechanics of Fractal Media

Based on the experimental observation of the size effects on the structural behavior of heterogeneous material specimens, the fractal features of the microstructure of such materials is rationally described. Once the fractal geometry of the microstructure is set, we can define the quantities characterizing the failure process of a disordered material (i.e. a fractal medium). These quantities sh...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Bulletin of the Polish Academy of Sciences Technical Sciences

سال: 2016

ISSN: 2300-1917

DOI: 10.1515/bpasts-2016-0041