Noninstantaneous impulsive inequalities via conformable fractional calculus [PDF]
Journal of Inequalities and Applications, 2018 We establish some new noninstantaneous impulsive inequalities using the conformable fractional calculus.
Surang Sitho +3 more
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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
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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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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
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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
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Analysis of Positive Linear Continuous–Time Systems Using the Conformable Derivative [PDF]
International Journal of Applied Mathematics and Computer Science, 2018 Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established.
Kaczorek Tadeusz
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Boundary Value Problems, 2019 Based on the properties of nonlocal fractional calculus generated by conformable derivatives, we establish some sufficient conditions for oscillation of all solutions for fractional differential equations with damping term.
Aphirak Aphithana +2 more
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The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities [PDF]
Demonstratio Mathematica, 2019 In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
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Solutions around a regular a singular point of a sequential conformable fractional differential equation [PDF]
Kuwait Journal of Science, 2017 In this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitionsof ?-analytic point, ?-ordinary point and regular ? singular point are presented.
Emrah Unal, Ahmet Gokdogan, Ercan Celik
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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
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