A partial differential equation model of metastasized prostatic cancer by Avner Friedman, Harsh Vardhan Jain

“…Here, we develop a partial differential equation model of the growth and response to treatment of prostate cancer that has metastasized to the bone. …”
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On periodic-type solutions of systems of linear ordinary differential equations by I. Kiguradze

“…We establish nonimprovable, in a certain sense, sufficient conditions for the existence of a unique periodic-type solution for systems of linear ordinary differential equations.…”
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Solvlng Non-Linear First Order Ordinary Differential Equations. by Taremwa, Elias

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Systems of Ordinary Differential Equations with Time Dependent Coefficient Matrix. by Twesiime, Gerald

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Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation by Moustafa El-Shahed

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Existence of Periodic Solutions to Multidelay Functional Differential Equations of Second Order by Cemil Tunç, Ramazan Yazgan

“…Using Lyapunov-Krasovskii functional approach, we establish a new result to guarantee the existence of periodic solutions of a certain multidelay nonlinear functional differential equation of second order. By this work, we extend and improve some earlier result in the literature.…”
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On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations by Fanning Meng, Yongyi Gu

“…In this article, exact solutions of two (3+1)-dimensional nonlinear differential equations are derived by using the complex method. …”
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Three-Point Boundary Value Problems for Conformable Fractional Differential Equations by H. Batarfi, Jorge Losada, Juan J. Nieto, W. Shammakh

“…We study a fractional differential equation using a recent novel concept of fractional derivative with initial and three-point boundary conditions. …”
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On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations by Yuangong Sun

“…We investigate the oscillation of the following higher-order functional differential equation: x(n)(t)+q(t)|x(t-τ)|λ-1x(t-τ)=e(t), where q(t) and e(t) are continuous functions on [t0,∞), 1>λ>0 and τ≠0 are constants. …”
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On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition by Allaberen Ashyralyev, Zafer Cakir

“…A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of one-dimensional fractional parabolic partial differential equations.…”
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Convergent Power Series of sech⁡(x) and Solutions to Nonlinear Differential Equations by U. Al Khawaja, Qasem M. Al-Mdallal

“…International Journal of Differential Equations…”
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Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions by Guotao Wang, Sanyang Liu, Lihong Zhang

“…By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.…”
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On Solutions to a Class of Functional Differential Equations with Time-Dependent Coefficients by Muhammad Mohsin, Syed Touqeer H. Shah, Ali A. Zaidi

“…In this paper, we study initial boundary value problems that involve functional (nonlocal) partial differential equations with variable coefficients. These problems arise in cell growth models with symmetric and asymmetric modes of division. …”
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Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations by Feng Gao, Chunmei Chi

“…We also gave the definition of the corresponding fractional integral and illustrated the applications of the improved conformable derivative to fractional differential equations by some examples.…”
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Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation by Kai Wang, Ling Zhu

“…In this paper, from the perspective of capital flow, the insurance company’s capital flow is regarded as a dynamic system, the stochastic differential equations model is established to describe its flow characteristics, and the existence of positive equilibrium point of the system is proved, as well as the conditions of stability at equilibrium point, that is, the requirements of the insurance company’s solvency. …”
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Solving Partial Integro-Differential Equations via Double Formable Transform by Bayan Ghazal, Rania Saadeh, Abdelilah K. Sedeeg

“…Additionally, we use a convolution kernel to solve linear partial integro-differential equations (PIDE) by using the double formable transform. …”
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Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem by Wichai Witayakiattilerd

“…The existence and uniqueness of a mild solution to nonlinear fuzzy differential equation constrained by initial value were proven. …”
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Automatic Recognition of Financial Instruments Based on Anisotropic Partial Differential Equations by Wenfu Pan, Li Chen, Ruxing Zhang

“…In this paper, anisotropic partial differential equations are used to conduct an indepth study and analysis of automatic recognition of financial bills. …”
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New Qualitative Results for Solutions of Functional Differential Equations of Second Order by Cemil Tunç, Sultan Erdur

“…In this paper, we are concerned with the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of nonlinear functional differential equations of second order by the second method of Lyapunov. …”
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Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series by Xiang-Chao Shi, Lan-Lan Huang, Zhen-Guo Deng, Dan Liu

“…In this paper, the Adomian decomposition method is applied to nonlinear fractional differential equation and the error analysis is given which shows the convenience.…”
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