Asymptotic behaviours of the solutions of neutral type Volterra integro-differential equations and some numerical solutions via differential transform method by Yener Altun

“…In this manuscript, we consider the first order neutral Volterra integro-differential equation (NVIDE) with delay argument. Firstly, we obtain novel sufficient conditions to establish the asymptotic behaviours of solutions of considered NVIDE using the Lyapunov method and present an example to demonstrate the applicability of proposed method. …”
Get full text

Qualitative results and numerical approximations of the $ (k, \psi) $-Caputo proportional fractional differential equations and applications to blood alcohol levels model by Weerawat Sudsutad, Chatthai Thaiprayoon, Aphirak Aphithana, Jutarat Kongson, Weerapan Sae-dan

Get full text

On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions by Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani

Get full text

Chebyshev iteration for the problem with nonlocal boundary condition by Mifodijus Sapagovas, Artūras Štikonas, Olga Štikonienė

Subjects: “…Poisson differential equation…”
Get full text

Competition of motile and immotile bacterial strains in a petri dish by Silogini Thanarajah, Hao Wang

Subjects: “…partial differential equation.…”
Get full text

Parameter-Efficient Vehicle Trajectory Prediction Based on Attention-Enhanced Liquid Structural Neural Model by Ruochen Wang, Yue Chen, Renkai Ding, Qing Ye

Subjects: Get full text

Structural calculations and propagation modeling of growing networks based on continuous degree by Junbo Jia, Zhen Jin, Lili Chang, Xinchu Fu

Subjects: Get full text

A stage structured model for mosquito suppression with immigration by Mugen Huang, Zifeng Wang, Zixin Nie

Subjects: Get full text

Balancing the Potential Gauging Process Applied to Wave Propagation for Arbitrary Space-Times by Thomas Reum

Subjects: Get full text

Mathematical Modelling of Disease Outbreak by Favour Christian, Matthew Molloy

Subjects: Get full text

New approach to modeling of antiangiogenic treatment on the basis of Hahnfeldt et al. model by Jan Poleszczuk, Marek Bodnar, Urszula Foryś

Subjects: Get full text

A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable by Ahmed Hamidat, Hakim Bagua

Subjects: “…Electro-viscoplastic. Dynamic. Differential equations. Fixed point.…”
Get full text

Accelerometer application mathematical model by Vincas Benevičius, Narimantas Listopadskis

Subjects: Get full text

An elementary approach to modeling drug resistance in cancer by Cristian Tomasetti, Doron Levy

Subjects: “…ordinary differential equations…”
Get full text

Modeling the effect of information campaigns on the HIV epidemic in Uganda by Hem Joshi, Suzanne Lenhart, Kendra Albright, Kevin Gipson

Subjects: “…differential equations…”
Get full text

A comparative study between E‐neurons mathematical model and circuit model by M. Daliri, Pietro M. Ferreira, G. Klisnick, A. Benlarbi‐Delai

Subjects: Get full text

Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image by Yi-Fei Pu, Ji-Liu Zhou, Patrick Siarry, Ni Zhang, Yi-Guang Liu

“…The traditional integer-order partial differential equation-based image denoising approaches often blur the edge and complex texture detail; thus, their denoising effects for texture image are not very good. …”
Get full text

New Fractional Derivative Expression of the Shifted Third-Kind Chebyshev Polynomials: Application to a Type of Nonlinear Fractional Pantograph Differential Equations by Y. H. Youssri, W. M. Abd-Elhameed, H. M. Ahmed

“…To solve a nonlinear fractional pantograph differential equation with quadratic nonlinearity, the fractional derivative formula is used in conjunction with the tau technique. …”
Get full text

Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations by Laksaci Noura, Hasan Fady, Boudaoui Ahmed, Mustafa Zead, Shatanawi Wasfi

Subjects: “…coupled caputo fractional delay differential equations…”
Get full text

Optimal Control Method of Parabolic Partial Differential Equations and Its Application to Heat Transfer Model in Continuous Cast Secondary Cooling Zone by Yuan Wang, Xiaochuan Luo, Sai Li

“…Our work is devoted to a class of optimal control problems of parabolic partial differential equations. Because of the partial differential equations constraints, it is rather difficult to solve the optimization problem. …”
Get full text