International Journal of Differential Equations

2006 - 2026

Continued by International Journal of Differential Equations.

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Volume 2026, month 5, 2026

Transient Chaos in a Jerk System: Zero-Hopf Bifurcation and Fractional Order Dynamics pp. 1-16

Sarbast Hussein, Surma H. Ibrahim, Nasser Saeed, Ali A. Shukur, Viet-Thanh Pham and Giuseppe Grassi

Impact of the Properties of Microstructured Solids on the Propagation of Hybrid Solitary Waves pp. 1-15

Stallon Mezezem Songna, Jean Roger Bogning and Francois Beceau Pelap

Volume 2026, month 4, 2026

Improved Analytical Technique Based on Laplace Transform and Homotopy Perturbation Method for Solving Fractional Bratu-Type Equations pp. 1-11

Ibrahim Hailat

Locally Bounded Second κ-Variation Solution of an Integro-Differential Equation With Infinite Delay pp. 1-8

Luz Elimar Marchan, Luis Fernando Mejías and Liliana Pérez

A Simple Expansion-Based HPM for Cubic–Quintic Damped Nonlinear Oscillator pp. 1-8

Nazmul Sharif

Numerical and Analytical Solutions for a Nonlinear System pp. 1-12

Badran Jasim Salim and Dalya Mahmood Merie

Edelstein Fixed Point Theorem in Neutrosophic Metric Spaces With an Application to an SIR-Type Epidemic Model pp. 1-9

Vishal Gupta, Nitika Garg and Rahul Shukla

Volume 2026, month 3, 2026

A Morgan-Voyce Polynomial Framework for Solving Variable-Order Atangana–Baleanu Fractional Differential Equations pp. 1-15

Ghadah S. E. Noman and D. D. Pawar

Existence and Uniqueness of Nonlinear Volterra Integral Equations With Variable Fractional Order in Fréchet Spaces via a Frigon−Granas Fixed Point Approach pp. 1-15

Mohamed Telli, Benoumran Telli, Mohammed Said Souid, K. Sudarmozhi and Joshua Kiddy K. Asamoah

Computational Analysis of Common Fixed Points in b-Metric Spaces With Applications to Well-Posedness and Projectile Motion pp. 1-13

Manju Devi, Surjeet Singh Chauhan(Gonder) and Rahul Shukla

A Mathematical Model for the Biological Control of Foxes, Rabbits, and Berries pp. 1-13

Raymond Charles and Kulwa Maiga

Volume 2026, month 2, 2026

Heterogeneous Media Heat Transfer Simulations Based on 3D-Fractional Parametric Laplace Kernel pp. 1-15

Rabha W. Ibrahim, Ali A. Jizany and Hasan Kahtan

Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations pp. 1-17

Mulunesh Amsalu Ayele and Dagnachew Mengstie Tefera

Computational Analysis of Prandtl on the Fluid Relaxation Time Features for the Energy and Concentration Nanomaterial Flow of Motile Microorganisms Induced by a Deformable Sheet With Chemical Reactions pp. 1-18

S. S. Zafar, Umair Khan, A. Zaib, Farhan Ali and M. Faizan

A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives pp. 1-14

B. Radhakrishnan, P. Chandru and W. D. Mergia

Volume 2026, month 1, 2026

Innovative Approaches in Differential Equation Analysis Using the Enhanced Differential Transform and Homotopy Perturbation Method pp. 1-21

V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore, Sarita Simaiya and Lidia Gosy Tekeste

Fixed Point Analysis for Cauchy-Type Variable-Order Fractional Differential Equations With Finite Delay pp. 1-13

Souhila Sabit, Mohammed Said Souid, Marwa Benaouda, K. Sudarmozhi and Joshua Kiddy K. Asamoah

Neuronal Dynamics of an Intrinsically Bursting Neuron Through the Caputo–Fabrizio Fractal–Fractional Hodgkin–Huxley Model pp. 1-24

M. J. Islam, M. J. Abedin, A. Hoque and M. G. Hafez

Volume 2025, month 12, 2025

Periodic Solutions and Stability Analysis of Nonlinear Neutral Delay Equations With Infinite Delay via Fixed-Point Theorems pp. 1-13

Mohamed Illafe, Haitham A. Makhzoum and Feras Yousef

Analyzing the Effect of Fear, and Refuge on Prey, Harvesting, and Hunting Cooperation Among Predators on Leslie–Gower Predator Prey Model pp. 1-25

Basaznew Belew

Volume 2025, month 11, 2025

An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative pp. 1-17

Nagwa A. Saeed and Deepak B. Pachpatte

An Analysis of Controllability Criteria for Higher-Order Caputo Fractional Differential Systems With State and Control Delays pp. 1-18

Anjapuli Panneer Selvam, Venkatesan Govindaraj, Raaid Alubady and Sina Etemad

Novel Technique for Solving Fractional-Order Rabies Model With Computational Simulations pp. 1-18

Hafiza Aansa Islam, Waqas Nazeer and Liliana Guran

Comparative Study of Finite Difference and Finite Element Methods for Solving 2D Parabolic Convection–Diffusion–Reaction Equations With Variable Coefficients pp. 1-16

Endalew Getnet Tsega

Solvability of Implicit Fractional Systems With Nonlocal Conditions in Weighted Functional Spaces pp. 1-13

Abdulrahman A. Sharif, Maha M. Hamood and Kirtiwant P. Ghadle

Volume 2025, month 10, 2025

Solutions of Nonlinear Parabolic PDEs: A Novel Technique Based on Galerkin-Finite Difference Residual Corrections pp. 1-15

Md. Shafiqul Islam, Nafia Mollik and Md. Kamrujjaman

Application of (q, Ï„)-Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations pp. 1-26

Shaher Momani and Rabha W. Ibrahim

Integer–Fractional Order of Identical Eigenvalues Chaotic Oscillator: Analysis and Shadow Economy Application pp. 1-14

Ali Shukur, Faruk Ozger, Nasser Saeed, Surma Ibrabim, Viet-Thanh Pham and Giuseppe Grassi

Volume 2025, month 9, 2025

The Analytic Methods for Solving the System of Fractional Order Brusselator Equations pp. 1-20

Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi and Kwaku Forkuoh Darkwah

Volume 2025, month 8, 2025

Analysis of a Compartmental Model for Norovirus Transmission Through Environmental Contact pp. 1-26

Gideon K. Gogovi, Ling Qin, Gabrielle String and Samson Olaniyi

Scrutinization of Mixed Convection in Variable Viscosity Casson Nanofluid Flow Over a Stretching Sheet Subject to the Cattaneo–Christov Flux Model pp. 1-36

Hundasa Chala Nagari, Mitiku Daba Firdi and Ebba Hindebu Rikitu

Volume 2025, month 7, 2025

A Comparative Study of Linearization Techniques With Adaptive Block Hybrid Method for Solving First-Order Initial Value Problems pp. 1-29

Salma Ahmedai, Precious Sibanda, Sicelo Goqo and Osman Noreldin

Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb-Metric Spaces pp. 1-14

Naveen Mani, Aruhi Somal, Sunil Beniwal and Rahul Shukla

Volume 2025, month 6, 2025

Modified Semiseparation of Variables Methods for Solving the System of Nonlinear Fractional Partial Differential Equations pp. 1-15

Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi and Kwaku Forkuoh Darkwah

Innovative Aspects of the Solvability of Multiterm Hybrid Functional Equations via Nonlocal Hybrid Conditions pp. 1-15

A. M. A. El-Sayed, Sh. M. Al-Issa, H. H. G. Hashem and A. H. Osman

Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations pp. 1-22

Uthman O. Rufai, Precious Sibanda, Sicelo P. Goqo, Salma A. A. Ahmedai and Adeyinka S. Adeyemo

Volume 2025, month 5, 2025

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral pp. 1-16

Gunaseelan Mani, Vasu Lakshmanan, Abdul Razak Kachu Mohideen and Homan Emadifar

Volume 2025, month 4, 2025

The Nonlinear Schrödinger Equation Derived From the Fifth-Order Korteweg–de Vries Equation Using Multiple Scales Method pp. 1-7

Murat Koparan

Asymptotic Lower Bound on the Spatial Analyticity Radius for Solutions of the Periodic Fifth Order KdV–BBM Equation pp. 1-9

Tegegne Getachew

Volume 2025, month 3, 2025

Solar Energy Utilization of Radiative Implication of Trihybrid Xue-Modeled Nanofluid Flow for Oblique Stagnation Point Flows pp. 1-16

Yasir Mehmood, Areej Asif, Ikram Syed, Waseem Abbasi, Syed Sajid Ullah and Muhammad Shahid Anwar

Mathematical Analysis of a Resource-Based Dispersal Model With Gompertz Growth and Optimal Harvesting pp. 1-16

Md. Kamrujjaman, Sayeda Irin Akter, Kamrun Nahar Keya, Md. Haider Ali Biswas, Md. Rafiul Islam and K. M. Ariful Kabir

Volume 2025, month 2, 2025

Nonlinear Second Order Scalar Differential Inclusion Involving a Singular Φ−Laplacian Operator, With Nonlinear General Boundary Conditions pp. 1-16

Droh Arsène Béhi, Assohoun Adjé and Konan Charles Etienne Goli

Volume 2025, month 1, 2025

New Lower Bounds of Spatial Analyticity Radius for the Kawahara Equation pp. 1-8

Tegegne Getachew

Volume 2024, month 12, 2024

Existence and Controllability for Second-Order Functional Differential Equations With Infinite Delay and Random Effects pp. 1-9

Srinivasan Madhumitha, Tharmalingam Gunasekar, Ammar Alsinai, Prabakaran Raghavendran, Read S. A. Qahtan and Elena Kaikina

Volume 2024, month 11, 2024

Implementing Bernstein Operational Matrices to Solve a Fractional-Order Smoking Epidemic Model pp. 1-16

Jalal Al Hallak, Mohammed Alshbool, Ishak Hashim and Amar Nath Chatterjee

Analysis of a Data-Driven Vector-Borne Dengue Transmission Model for a Tropical Environment in Bangladesh pp. 1-19

Mahadee Al Mobin, Md. Kamrujjaman, Md. Mamun Molla, Shi Chen and Jaume Giné

Volume 2024, month 10, 2024

Modification of the Differential Transform Method With Search Direction Along the Spatial Axis pp. 1-22

Helena Nayar, Patrick Azere Phiri and Jaume Giné

Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals pp. 1-11

Bilal Ghermoul and Igor Freire

Convexity Property of Finsler Infinity Harmonic Functions pp. 1-8

Benyam Mebrate and Sining Zheng

Volume 2024, month 9, 2024

A Novel Approach with Comparative Computational Simulation of Analytical Solutions of Fractional Order Volterra Type Integral Equations pp. 1-16

Javed Iqbal, Khurram Shabbir, Liliana Guran, Homan Emadifer and Elena Kaikina

Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass pp. 1-6

Hartono, N. Binatari, F. Y. Saptaningtyas, Emut and Mayer Humi

An Analytical Approach to the New Solution of Family of Kuramoto Sivashinsky Equation by q-Homotopy Analysis Technique pp. 1-11

Abdullah Shah, Safdar Hussain and Md. Kamrujjaman

Volume 2024, month 8, 2024

Matrix and Inverse Matrix Projective Synchronization of Fractional-Order Time-Delay Chaotic Systems with Uncertainty pp. 1-17

Vijay K. Shukla, Mahesh C. Joshi, Prashant K. Mishra, İbrahim Avcı, Sina Etemad and Peiguang Wang

Green’s Function of the Cauchy Problem for Equations with Dissipative Parabolicity, Negative Genus, and Variable Coefficients pp. 1-18

Vladyslav Litovchenko, Denys Kharyna and Elena Kaikina

Volume 2024, month 6, 2024

On Stability Analysis of Linear Axially Moving Damped Beam with Elastic Foundation pp. 1-18

Ghulam Yameen Mallah, Rajab Ali Malookani, Sajad Hussain Sandilo, Sanaullah Dehraj and Ram N. Quintanilla

Fractional-Order Delay Cobweb Model and Its Price Dynamics pp. 1-14

Martin Anokye, Benedict Barnes, Samuel E. Assabil, Eric Okyere, Agnes A. Konadu and Khalil Ezzinbi

Volume 2024, month 3, 2024

Approximate Controllability and Ulam Stability for Second-Order Impulsive Integrodifferential Evolution Equations with State-Dependent Delay pp. 1-21

Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston N’Guérékata and Amar Nath Chatterjee

Comparison of Approximate Analytical and Numerical Solutions of the Allen Cahn Equation pp. 1-9

Safdar Hussain, Fazal Haq, Abdullah Shah, Dilsora Abduvalieva, Ali Shokri and Sining Zheng

Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics pp. 1-16

Esam Y. Salah, Bhausaheb Sontakke, Mohammed S. Abdo, Wasfi Shatanawi, Kamaleldin Abodayeh, M. Daher Albalwi and Md. Kamrujjaman

Volume 2024, month 2, 2024

Multiple Solutions for Singular Systems with Sign-Changing Weight, Nonlinear Singularities and Critical Exponent pp. 1-8

Mohammed El Mokhtar Ould El Mokhtar, Saleh Fahad Aljurbua and Md. Kamrujjaman