International Journal of Differential Equations

2006 - 2026

Continued by International Journal of Differential Equations.

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Volume 2026, month 9, 2026

A New Computational Method Based on Fractional Integration Operational Matrices for Solving Fractional Integro–Differential Equations pp. 1-13

Mehdi Delkhosh

Optimal Harvesting of a Holling Type 2 Gordon–Schaefer Bioeconomic Model pp. 1-15

Tetchi Albin N’Guessan, David Paul Tuo and Josué Carlos Israël Oulai

Volume 2026, month 8, 2026

Optimal Control Analysis and Simulation of a Mathematical Model for Recurrent Malaria Dynamics via the Caputo Fractional-Order Derivative pp. 1-18

Sulaimon F. Abimbade, Furaha M. Chuma, Adekunle O. Sangotola, Ramoshweu S. Lebelo and Samson Olaniyi

Size-Selective Threshold Harvesting Under Nonlocal Crowding and Exogenous Recruitment pp. 1-19

Jiguang Yu, Louis Shuo Wang and Ye Liang

The G&G Model: A Potential-Based Resolution of Fractional Governance Fields With Entropic Noise and Stochastic Control for Digital Regulation in Africa pp. 1-26

Glody Singa and Gilles Bokolo Tamba

Global Existence and General Decay of Solutions for a Viscoelastic Marguerre–Vlasov System With Nonlinear Delay Feedback pp. 1-15

Ahmed Chahtou, Mohammed Said Souid, M’hamed Bensaid and Kanokwan Sitthithakerngkiet

Numerical Schemes Based on Splines for Two-Dimensional Singularly Perturbed Elliptic Partial Differential Equations With Mixed Shifts pp. 1-16

Vivek K. and R. Nageshwar Rao

Artificial Intelligence–Assisted Fractional Nonstandard Finite Difference Scheme for a Noncommensurate Quarantine Reaction–Diffusion Epidemic Model pp. 1-23

Younes Brahim Oumedjber, Adel Ouannas, Nadjette Debbouche and Giuseppe Grassi

New Perspectives on Nonlinear Time-Fractional Wave Systems: Structural Analysis, Numerical Precision, and Fractional Wave Dynamics pp. 1-23

Fares Bekhouche, Ahmed Bouchenak, Iqbal M. Batiha, Ouidad Boulakour, Nidal Anakira, Irianto Irianto and Tala Sasa

Fractional-Order Discrete Competition Dynamics in Financial Institutions pp. 1-29

Iqbal Jebril and Haneen A. Al-Khawaja

Deterministic and Fractional-Order Modeling of Potato Disease Transmission Dynamics pp. 1-29

Md. Asraful Islam and Sherajum Arafin Kona

Volume 2026, month 7, 2026

An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation pp. 1-21

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

Boundary Value Problems With ψ-Hilfer Fractional Derivative: Existence Theorems in Nonlinear Analysis pp. 1-9

Amjad Salari and Zainab Mawdoodi

On the Resolution of Some Itô Diffusions by the Heat Equation pp. 1-8

Sameerah Jamal

Dynamics of Breather and Peakon Excitations in the Nonlinear Fractional Generalized Reaction Duffing and Fisher Models via Generalized Bernoulli Equation Method pp. 1-20

Sirasrete Phoosree, Jirasak Saekhow, Jiraporn Sanjun and Weerachai Thadee

Volume 2026, month 6, 2026

Thermal Analysis of Boger Nanofluid Dynamics Over Permeable Riga Curved Surface With Particle Deposition: Implications for Solar Energy Applications pp. 1-12

Tejaswini G. K., Vinutha K., Ramachandran T., Swetarani Biswal, Madhukesh J. K. and Umair Khan

A New Model for Tuberculosis, Hepatitis B, and Hepatitis C Propagation in HIV Patients: Stability and Sensitivity Analysis pp. 1-48

Chaimae El Mourabit and Nadia Idrissi Fatmi

Volume 2026, month 5, 2026

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

Spline-Based Computational Technique for Singularly Perturbed Fredholm Integro-Differential Problems pp. 1-15

Rajagopal S. and Dinesh Kumar S.

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

Stability Regions and Bifurcation Analysis of a Delayed Tumor Therapy Model Using Oncolytic Virus pp. 1-18

Leniy Eka Watiy and Fajar Adi-Kusumo

Volume 2026, month 4, 2026

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

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

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

Ibrahim Hailat

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

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

Mulunesh Amsalu Ayele and Dagnachew Mengstie Tefera

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

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

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

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

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

Volume 2026, month 1, 2026

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

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

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

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

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

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

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

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

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

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

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

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

Volume 2025, month 7, 2025

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

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

Volume 2025, month 6, 2025

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

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

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

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

Tegegne Getachew

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

Murat Koparan

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