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An Efficient Approach for Solving Differential Equations in the Frame of a New Fractional Derivative Operator
(MDPI, 2023-01-03)
Recently, a new fractional derivative operator has been introduced so that it presents the combination of the Riemann–Liouville integral and Caputo derivative. This paper aims to enhance the reproducing kernel Hilbert space ...
Periodic, Singular and Dark Solitons of a Generalized Geophysical KdV Equation by Using the Tanh-Coth Method
(MDPI, 2023-01-03)
KdV equations have a lot of applications of in fluid mechanics. The exact solutions of the KdV equations play a vital role in the wave dynamics of fluids. In this paper, some new exact solutions of a generalized geophysical ...
Modelling and Analysis of a Measles Epidemic Model with the Constant Proportional Caputo Operator
(MDPI, 2023-02-09)
Despite the existence of a secure and reliable immunization, measles, also known as rubeola, continues to be a leading cause of fatalities globally, especially in underdeveloped nations. For investigation and observation ...
Novel Mean-Type Inequalities via Generalized Riemann-Type Fractional Integral for Composite Convex Functions: Some Special Examples
(MDPI, 2023-02-10)
This study deals with a novel class of mean-type inequalities by employing fractional calculus and convexity theory. The high correlation between symmetry and convexity increases its significance. In this paper, we first ...
Higher Order Non-Planar Electrostatic Solitary Potential in a Streaming Electron-Ion Magnetoplasma: Phase Plane Analysis
(MDPI, 2023-02-06)
We investigate cylindrical and spherical solitons in electron-ion (EI) plasma that contains hot (cold) electrons with stationary ions. The magneto-hydrodynamic equations are solved with the aid of the reductive perturbation ...
Fractional Order Operator for Symmetric Analysis of Cancer Model on Stem Cells with Chemotherapy
(MDPI, 2023-02-16)
Cancer is dangerous and one of the major diseases affecting normal human life. In this paper, a fractional-order cancer model with stem cells and chemotherapy is analyzed to check the effects of infection in individuals. ...
On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
(MDPI, 2023-02-05)
In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is ...
Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
(MDPI, 2023-01-21)
This paper deals with the existence of an optimum solution of a system of ordinary differential equations via the best proximity points. In order to obtain the optimum solution, we have developed the best proximity point ...
Stability and Controllability Study for Mixed Integral Fractional Delay Dynamic Systems Endowed with Impulsive Effects on Time Scales
(MDPI, 2023-01-13)
In this article, we investigate a novel class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. Also, fixed-point techniques are applied to study the existence and uniqueness of a ...
An Intelligent Platform for Software Component Mining and Retrieval
(MDPI, 2023-01-03)
The development of robotic applications necessitates the availability of useful, adaptable, and accessible programming frameworks. Robotic, IoT, and sensor-based systems open up new possibilities for the development of ...