Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method by Asrar Saleh Alsulami, Mariam Al-Mazmumy, Maryam Ahmed Alyami, Mona Alsulami

“…This paper combines the Sumudu transform with the Adomian decomposition method to address Caputo-type fractional-order pantograph delay differential equations. It features numerical evaluations that confirm the effectiveness of the proposed methods. …”
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Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces by Salim Krim, Saïd Abbas, Mouffak Benchohra, Erdal Karapinar

“…This manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α−φ-Geraghty type contraction and the fixed point theory. …”
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Urban Planning Image Feature Enhancement and Simulation Based on Partial Differential Equation Method by Duo Li

“…Based on the introduction of the basic ideas and related technologies of partial differential equations, as well as the method of path planning, the application of partial differential equations in solving urban path planning is studied. …”
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A Numerical Approach for the Analytical Solution of the Fourth-Order Parabolic Partial Differential Equations by Fenglian Liu, Muhammad Nadeem, Ibrahim Mahariq, Suliman Dawood

“…In this study, we propose a new iterative scheme (NIS) to investigate the approximate solution of the fourth-order parabolic partial differential equations (PDEs) that arises in transverse vibration problems. …”
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Analyzing Uniqueness of Solutions in Nonlinear Fractional Differential Equations with Discontinuities Using Lebesgue Spaces by Farva Hafeez, Mdi Begum Jeelani, Nouf Abdulrahman Alqahtani

“…We explore the existence and uniqueness of solutions to nonlinear fractional differential equations (FDEs), defined in the sense of RL-fractional derivatives of order <inline-formula><math display="inline"><semantics><mrow><mi>η</mi><mo>∈</mo><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></semantics></math></inline-formula>. …”
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Fractional Stochastic Differential Equations with Hilfer Fractional Derivative: Poisson Jumps and Optimal Control by Fathalla A. Rihan, Chinnathambi Rajivganthi, Palanisamy Muthukumar

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An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space by Asma Bouzaroura, Saïd Mazouzi

“…International Journal of Differential Equations…”
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Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach by Rehana Naz

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Multiple Positive Solutions for a System of Nonlinear Caputo-Type Fractional Differential Equations by Hongyu Li, Yang Chen

“…By using fixed-point index theory, we consider the existence of multiple positive solutions for a system of nonlinear Caputo-type fractional differential equations with the Riemann-Stieltjes boundary conditions.…”
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Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter by Zhibo Cheng, Yun Xin

“…We investigate a class of variable coefficients singular third-order differential equation with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. …”
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Stability analysis for first-order nonlinear differential equations with three-point boundary conditions by Kamala E. Ismayilova

“…In the present paper, we study a system of nonlinear differential equations with three-point boundary conditions. …”
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On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation by Ercan Tunç, Said R. Grace

“…International Journal of Differential Equations…”
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Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations by Yansheng Liu

“…This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. …”
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Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance by Lei Hu, Shuqin Zhang, Ailing Shi

“…International Journal of Differential Equations…”
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Uniqueness and Nonuniqueness in Inverse Problems for Elliptic Partial Differential Equations and Related Medical Imaging by Kiwoon Kwon

“…Unique determination issues about inverse problems for elliptic partial differential equations in divergence form are summarized and discussed. …”
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Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations by S. Bivani, M. Ghasemi, A. Goligerdian

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Existence Theorem for Impulsive Differential Equations with Measurable Right Side for Handling Delay Problems by Z. Lipcsey, J. A. Ugboh, I. M. Esuabana, I. O. Isaac

“…In order to support handling impulsive differential equations with delay like in other chapters of differential equations, we formulated and proved existence and uniqueness theorems for impulsive differential equations with measurable right sides following Caratheodory’s techniques. …”
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A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets by Mutaz Mohammad, Alexander Trounev

“…Based on the operational matrix, the neutral delay differential equations are reduced to a system of algebraic equations, which is solved through a numerical algorithm. …”
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Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities by Yongxiang Li, Lanjun Guo

“…This paper is concerned with the existence of periodic solutions for the fully second-order ordinary differential equation u′′(t)=ft,ut,u′t, t∈R, where the nonlinearity f:R3→R is continuous and f(t,x,y) is 2π-periodic in t. …”
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Two-Point Oscillation for a Class of Second-Order Damped Linear Differential Equations by Kong Xiang-Cong, Zheng Zhao-Wen

“…Using the comparison theorem, the two-point oscillation for linear differential equation with damping term is considered, where . …”
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