Results 11 to 20 of about 137,560 (275)
Novel Investigation of Multivariable Conformable Calculus for Modeling Scientific Phenomena [PDF]
Journal of Mathematics, 2021 New investigation on the conformable version (CoV) of multivariable calculus is proposed. The conformable derivative (CoD) of a real-valued function (RVF) of several variables (SVs) and all related properties are investigated.
Mohammed K. A. Kaabar +4 more
doaj +8 more sources
Some Fractional Dynamic Inequalities of Hardy’s Type via Conformable Calculus
Mathematics, 2020 In this article, we prove some new fractional dynamic inequalities on time scales via conformable calculus. By using chain rule and Hölder’s inequality on timescales we establish the main results.
Mohammed Kenawy +2 more
exaly +4 more sources
Multi-variable conformable fractional calculus
Filomat, 2018 Conformable fractional derivative is introduced by the authors Khalil et al. In this study we develop their concept and introduce multi-variable conformable derivative for a vector valued function with several ...
Gözütok, Nazlı Yazıcı +1 more
core +6 more sources
Concept and application of interval-valued fractional conformable calculus
Alexandria Engineering Journal, 2022 This paper introduces a new concept of Caputo type interval-valued fractional conformable calculus. Based on this, some theorems and properties related to fractional conformable calculus are presented.
Lihong Zhang +3 more
doaj +2 more sources
A conformable fractional calculus on arbitrary time scales
Journal of King Saud University - Science, 2016 A conformable time-scale fractional calculus of order $α\in ]0,1]$ is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing $α= 1$.
Delfim F M Torres
exaly +4 more sources
Fractional Reverse Coposn’s Inequalities via Conformable Calculus on Time Scales [PDF]
Symmetry, 2021 This paper provides novel generalizations by considering the generalized conformable fractional integrals for reverse Copson’s type inequalities on time scales. The main results will be proved using a general algebraic inequality, chain rule, Hölder’s inequality, and integration by parts on fractional time scales.
H M Rezk +2 more
exaly +3 more sources
Analytical solutions and dynamic behavior of conformable fractional reaction-diffusion systems [PDF]
Scientific ReportsThis study presents an analytical investigation of fractional reaction-diffusion systems within the framework of the conformable fractional operator. The conformable operator provides a simplified yet powerful mathematical tool for modeling fractional ...
Azzh Saad Alshehry +2 more
doaj +2 more sources
Contributions to Conformable and non-Conformable Calculus [PDF]
, 2019 In this work, we introduce a definition of a local fractional derivative and a fractional integral of order alfa > 0 (where this parameter does not need to be integer), with which we overcome some deficiencies of known local derivatives, conformable or not. This definition allows to compute fractional derivatives of functions defined on any open set on
Fleitas Imbert, Alberto
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Further Developments of Bessel Functions via Conformable Calculus with Applications [PDF]
Journal of Function Spaces, 2021 The theory of Bessel functions is a rich subject due to its essential role in providing solutions for differential equations associated with many applications.
Mahmoud Abul-Ez +2 more
doaj +3 more sources
Some weighted integral inequalities for generalized conformable fractional calculus [PDF]
, 2021 Summary: In this paper, we have obtained weighted versions of Ostrowski, Chebyshev 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
Budak, Hüseyin +2 more
openaire +5 more sources