Results 101 to 110 of about 1,318 (279)

Analytic solution for the space-time fractional Klein-Gordon and coupled conformable Boussinesq equations

open access: yesResults in Physics, 2018
In this paper, we constructed a travelling wave solution for space-time fractional nonlinear partial differential equations by using the modified extended Tanh method with Riccati equation.
Muhannad A. Shallal   +2 more
doaj   +1 more source

Nonlocal Telegraph Equation in Frame of the Conformable Time-Fractional Derivative

open access: yesAdvances in Mathematical Physics, 2019
We use the cosine family of linear operators to prove the existence, uniqueness, and stability of the integral solution of a nonlocal telegraph equation in frame of the conformable time-fractional derivative. Moreover, we give its implicit fundamental solution in terms of the classical trigonometric functions.
Mohamed Bouaouid   +2 more
openaire   +2 more sources

Sturm’s theorems for conformable fractional differential equations

open access: yes, 2016
In the present paper, we make use of local properties of the recently established definition of conformable fractional derivative. Sturm’s separation and Sturm’s comparison theorems are proved for differential equations involving conformable fractional ...
Pospíšil, Michal   +3 more
core  

On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative

open access: yes, 2018
In this study, we have obtained analytical solutions of fractional Cauchy problem by using q-Homotopy Analysis Method (q-HAM) featuring conformable derivative.
Mehmet Yavuz   +3 more
core   +1 more source

Hierarchical Multi‐Material Architectures With Gradient Design for Dynamic‐Range Flexible Tactile Sensing

open access: yesAdvanced Materials Technologies, EarlyView.
Hierarchical multi‐material TPMS lattices are engineered as flexible tactile sensors by combining soft and stiff elastomeric layers with a conformal conductive coating. The bilayer architecture delivers sensitivity at low pressures while maintaining a broad detectable range under large loads, enabling reliable pressure and vibration monitoring for ...
Reza Noroozi   +3 more
wiley   +1 more source

Precise interpretation of the conformable fractional derivative

open access: yes, 2018
Let $α\in\,]0,1[$. We prove that the existence of the conformable fractional derivative $T_αf$ of a function $f:[0,\infty[\,\longrightarrow \mathbb{R}$ introduced by Khalil et al. in [R. Khalil, M. Al Horani, A. Yousef, M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math.
openaire   +2 more sources

A solution method for integro-differential equations of conformable fractional derivative

open access: yesThermal Science, 2018
The aim of this work is to determine an approximate solution of a fractional order Volterra-Fredholm integro-differential equation using by the Sinc-collocation method. Conformable derivative is considered for the fractional derivatives. Some numerical examples having exact solutions are approximately solved.
Bayram, Mustafa   +3 more
openaire   +4 more sources

Stretchable and Strain‐Tolerant Gold‐Coated Fibrous Biosensor for Superoxide Anion Monitoring

open access: yesAdvanced Materials Technologies, EarlyView.
A breathable, stretchable gold nanomesh–TPU fiber platform is developed via controlled electroless deposition, enabling uniform through‐thickness conductivity while preserving porosity. Functionalized with superoxide dismutase, the system achieves selective, real‐time electrochemical detection of superoxide with high sensitivity, mechanical durability,
Jafar M. Batayneh, Ahyeon Koh
wiley   +1 more source

Design of Fractional Order Sliding Mode Controller for Chaos Suppression of Atomic Force Microscope System

open access: yesIranian Journal of Electrical and Electronic Engineering, 2019
A novel nonlinear fractional order sliding mode controller is proposed to control the chaotic atomic force microscope system in presence of uncertainties and disturbances. In the design of the suggested fractional order controller, conformable fractional
S. Haghighatnia, H. Toossian Shandiz
doaj  

On the existence of solution for a \(k\)-dimensional system of conformable fractional derivative

open access: yesExamples and Counterexamples, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Negar Bakhshi Sadabadi, Fariba Maheri
openaire   +2 more sources

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