Quantitative analysis and stability results in $ \beta $-normed space for sequential differential equations with variable coefficients involving two fractional derivatives by Debao Yan

Subjects: “…sequential fractional differential equations…”
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On the Existence and Stability of Positive Solutions of Eigenvalue Problems for a Class of P-Laplacian ψ-Caputo Fractional Integro-Differential Equations by Yahia Awad

“…This article introduces a generalized approach for analyzing stability and establishing the existence of positive solutions in a specific type of differential equations known as p-Laplacian ψ-Caputo fractional differential equations with fractional integral boundary conditions. …”
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Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations by Faizan Ahmad Khan, Fahad M. Alamrani, Esmail Alshaban, Ebrahem A. Algehyne, Musaad S. Aldhabani

“…We employed our results finding out a unique solution of second-order ordinary differential equations prescribed with specific boundary conditions.…”
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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. …”
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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

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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

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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. …”
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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. …”
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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…”
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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. …”
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A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain by Faezeh Toutounian, Emran Tohidi, Stanford Shateyi

“…This paper contributes a new matrix method for the solution of high-order linear complex differential equations with variable coefficients in rectangular domains under the considered initial conditions. …”
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A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method by Brajesh Kumar Singh, Mahendra

“…International Journal of Differential Equations…”
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Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces by John R. Graef, Abdelghani Ouahab

“…A recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas is used to investigate the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite delay. An example to illustrate the results is included.…”
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The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space by Mustafa Mudhesh, Muhammad Arshad, Aftab Hussain, Amer Hassan Albargi, Eskandar Ameer

“…Finally, we utilize the obtained results to scrutinize the existence of solutions for nonlinear fourth-order differential equations (NFODEs).…”
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Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers by Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Farzad Kiani, Samad Noeiaghdam, Unai Fernandez-Gamiz

“…In this paper, we consider a conformable fractional differential equation with a constant coefficient and obtain an approximation for this equation using the Radu–Mihet method, which is derived from the alternative fixed- point theorem. …”
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Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales by Gang Wu, Longsuo Li, Xinrong Cong, Xiufeng Miao

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Parameter uniform finite difference formulation with oscillation free for solving singularly perturbed delay parabolic differential equation via exponential spline by Zerihun Ibrahim Hassen, Gemechis File Duressa

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Application of Image Recognition Algorithm Based on Partial Differential Equation and Wavelet Transform in the Intelligent Linkage System of Government Urban Public Management by Xinyu Xu

“…The method of mathematical modeling is used to combine the improved wavelet domain Wiener filter and the comprehensive model of partial differential equations. This paper proposes an image recognition algorithm based on partial differential equations and wavelet transform. …”
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Food web dynamics in a seasonally varying wetland by Donald L. DeAngelis, Joel C. Trexler, Douglas D. Donalson

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The role of delays in innate and adaptive immunity to intracellular bacterial infection by Simeone Marino, Edoardo Beretta, Denise E. Kirschner

Subjects: “…delay differential equations model…”
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