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Some Results Related with n—variables Non Conformable Fractional Derivatives
The present work introduces some results on functions of several variables in the fractional calculus setting. In addition to defining the...
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Conformable fractional derivative in commutative algebras
In this paper, an analog of the conformable fractional derivative is defined in an arbitrary finite-dimensional commutative associative algebra....
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Hybrid cubic and hyperbolic b-spline collocation methods for solving fractional Painlevé and Bagley-Torvik equations in the Conformable, Caputo and Caputo-Fabrizio fractional derivatives
In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik equations in the Conformable (Co), Caputo (C), and...
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Applications of Conformable Fractional Weibull Distribution
The aim of this research is to generate probability density functions of random variables of the Weibull distribution using fractional differential...
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Homogeneity-Based Exponential Stability Analysis for Conformable Fractional-Order Systems
We study the exponential stability of homogeneous fractional time-varying systems and the existence of Lyapunov homogeneous function for the...
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Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals
In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several...
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Analysis of a Novel Conformable Fractional Order ASIR Dengue Transmission Model in the Perspective of Bangladesh
AbstractDengue fever is an intense feverish virus related disease dispatched with the nibble of Aedes mosquitoes carrying one of the four serotypes,...
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Conformable fractional Newton-type inequalities with respect to differentiable convex functions
The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type...
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Mild Solutions of a Class of Conformable Fractional Differential Equations with Nonlocal Conditions
This paper deals with the existence, uniqueness and continuous dependence of mild solutions for a class of conformable fractional differential...
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Fractional Integrals and Derivatives
In this chapter, we list various types of fractional integrals and fractional derivatives available in the literature. In fact, the purpose is to...
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Numerical and analytical solution to a conformable fractional Fornberg–Whitham equation
In this work, we perform a broader analytical and numerical study of a space-time conformable fractional Fornberg–Whitham equation. The concept of...
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Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions
In this paper, new inequalities for the left and right sides of the Hermite–Hadamard inequality are acquired for twice-differentiable map**s....
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Lie Symmetry and Exact Solutions of Conformable Time Fractional Schamel–Korteweg–De Vries Equation
In this current study, a systematic investigation is carried to derive symmetry reductions of conformable time-fractional Schamel–KdV equation via...
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q-Deformed Conformable Fractional Natural Transform
We propose a new deformation and generalization of the natural integral transform based on the conformable fractional q -derivative. We obtain...
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A novel conformable fractional approach to the Brusselator system with numerical simulation
In this study, we delve into a comprehensive analysis of the Brusselator system, combining both analytical and numerical approaches. In summary, our...
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Conformable fractional dynamic dirac system
The conformable fractional dynamic Dirac system on time scales is considered. An existence theorem is given for this system. Furthermore, a...
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Existence and Trajectory Controllability of Conformable Fractional Neutral Stochastic Integrodifferential Systems with Infinite Delay
The present work deals with the existence and the trajectory (T-)controllability of conformable fractional neutral stochastic integrodifferential...
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A robust stability criterion on the time-conformable fractional heat equation in a axisymmetric cylinder
In this paper we consider a time-conformable fractional heat equation that admits heat sources that belong to a prefixed set of functions. Assuming...
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Measurement and Calculation on Conformable Surfaces
In this study, some basic concepts related to the surface are examined with the help of conformable fractional analysis. As known, the best thing...
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Piecewise conformable fractional impulsive differential system with delay: existence, uniqueness and Ulam stability
Ideally, the state variable follows a constant motion law over time. However, due to the finiteness of motion speed, almost all systems have time...