Keywords = Fractional calculus
Deriving Novel Wave Solutions to the (2+1)fractional Paraxial Wave Dynamical Equation with Kerr Law Using the (G′/G2)-Expansion Function Technique

Articles in Press, Accepted Manuscript, Available Online from 24 June 2025

10.22034/cmde.2025.64296.2908

Fatma E. Abd Elbary; Mourad S. Semary; ِِAisha F. Fareed; Mohammed A. Elsesy


An Investigation of Fractional Typhoid Fever Disease Model using Homotopy Decomposition Method

Articles in Press, Accepted Manuscript, Available Online from 05 August 2025

10.22034/cmde.2025.65535.3018

Nisha Meena; Yoghesh Khandelwal; Lukesh Kumar Yadav; Murli Manohar Gour; Sunil Dutt Purohit


Optimal solution of the nonlinear time fractional diffusion-wave equation using generalized Laguerre polynomials

Articles in Press, Accepted Manuscript, Available Online from 11 August 2025

10.22034/cmde.2025.66412.3097

Narges Goudarzian; Hossein Hassani; Mohammad Shafi Dahaghin


A Novel Neural Network Architecture for Solving Fractional Differential Equations

Articles in Press, Accepted Manuscript, Available Online from 14 September 2025

10.22034/cmde.2025.63059.2803

Hassan Dana Mazraeh; Ali Nosrati Firoozsalari; Alireza Afzal Aghaei; Kourosh Parand


Efficient numerical simulation of fractional extended Heston models including interest rate driven by variable-order Brownian motions

Articles in Press, Accepted Manuscript, Available Online from 29 October 2025

10.22034/cmde.2025.68717.3348

Zahra Tokasi; Mousa Ilie; Behrouz Parsa Moghaddam; Kamyar Hosseini


Unsteady Flow of Immiscible Generalized Second-Grade Fluids in a Rectangular Channel using Fractional Derivatives

Articles in Press, Accepted Manuscript, Available Online from 20 April 2026

10.22034/cmde.2025.67938.3252

Imran Siddique; Laiba Ghafoor; Barno Abdullaeva; Aneeza Faheem; Zaher M Yaseen


An advanced block-based algorithm for fractional order modeling of financial crime population dynamics prediction

Articles in Press, Accepted Manuscript, Available Online from 25 May 2026

10.22034/cmde.2026.70845.3540

Hadis Azin; Yadollah Ordokhani; Alireza Hosseinian


A study on the fractional Ebola virus model by the semi-analytic and numerical approach

Volume 13, Issue 3, July 2025, Pages 783-801

10.22034/cmde.2024.61485.2653

Sachin Kelagere Narayana; Suguntha Devi Kannadasan; Kumbinarasaiah Srinivasa


Computational approaches for analyzing fractional impulsive systems in differential equations

Volume 13, Issue 2, March 2025, Pages 384-394

10.22034/cmde.2024.61407.2642

Zahra Sharifi; Behrouz Parsa Moghaddam; Mousa Ilie


Eigenvalues of fractional Sturm-Liouville problems by successive method

Volume 9, Issue 4, October 2021, Pages 1163-1175

10.22034/cmde.2020.37867.1671

Elnaz Massah Maralani; Farhad Dastmalchi Saei; Ali Asghar Jodayree Akbarfam; Kazem Ghanbari


A new method for constructing exact solutions for a time-fractional differential equation

Volume 8, Issue 1, January 2020, Pages 194-204

10.22034/cmde.2019.9525

Elham Lashkarian; Seyed Reza Hejazi; Noora Habibi