Computational Methods for Differential Equations

Keywords = Caputo fractional derivative

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 mathematical analysis of a non-linear smoking model via fractional operators

Volume 14, Issue 1, January 2026, Pages 60-80

10.22034/cmde.2024.62331.2738

Savita Panwar; Rupakshi Mishra Pandey; Sunil Dutt Purohit; Shyamsunder -

Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method

Volume 13, Issue 4, October 2025, Pages 1201-1215

10.22034/cmde.2024.53470.2253

Shivaji Ashok Tarate; Ashok P Bhadane; Shrikisan B Gaikwad; Kishor Ashok Kshirsagar

Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type

Volume 12, Issue 4, October 2024, Pages 638-650

10.22034/cmde.2024.59096.2510

Ramin Najafi; Fariba Bahrami; Parisa Vafadar

Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions

Volume 12, Issue 3, July 2024, Pages 438-453

10.22034/cmde.2023.56512.2363

Abdelati El Allaoui; Youssef Allaoui; Said Melliani; Hamid El Khalfi

On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems

Volume 11, Issue 4, July 2023, Pages 811-821

10.22034/cmde.2022.52790.2221

Arezu Aghazadeh; Yaghoub Mahmoudi

To study existence of unique solution and numerically solving for a kind of three-point boundary fractional high-order problem subject to Robin condition

Volume 11, Issue 2, April 2023, Pages 332-344

10.22034/cmde.2022.51628.2153

Elyas Shivanian; Hedayat Fatahi

Extremal solutions for multi-term nonlinear fractional differential equations with nonlinear boundary conditions

Volume 11, Issue 1, January 2023, Pages 32-41

10.22034/cmde.2021.48310.2018

Hossein Fazli; Fariba Bahrami; Sedaghat Shahmorad

Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative

Volume 10, Issue 1, January 2022, Pages 200-214

10.22034/cmde.2020.39372.1724

Anum Zehra; Awais Younus; Cemil Tunc

Conformable double Laplace transform method for solving conformable fractional partial differential equations

Volume 9, Issue 3, July 2021, Pages 908-918

10.22034/cmde.2020.38135.1678

Suliman Alfaqeih; Emine Mısırlı

On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions

Volume 9, Issue 1, January 2021, Pages 36-51

10.22034/cmde.2020.29444.1420

Azizollah Babakhani; Qasem Al-Mdallal

Asymptotic decomposition method for fractional order Riccati differential equation

Volume 9, Issue 1, January 2021, Pages 63-78

10.22034/cmde.2020.28235.1386

Bijan Hasani lichae; Jafar Biazar; Zainab Ayati

Solving fractional optimal control problems using Genocchi polynomials

Volume 9, Issue 1, January 2021, Pages 79-93

10.22034/cmde.2020.40292.1759

Maryam Arablouye Moghaddam; Yousef Edrisi Tabriz; Mehrdad Lakestani

On using topological degree theory to investigate a coupled system of non linear hybrid differential equations

Volume 7, Issue 2, April 2019, Pages 224-234

Samina .; Ibrar Ullah; Rahmat Khan; Kamal Shah

Linear fractional fuzzy differential equations with Caputo derivative

Volume 7, Issue 2, April 2019, Pages 252-265

Rahman Abdollahi; Mohammad Bagher Farshbaf Moghimi; Alireza Khastan; Mohammad Reza Hooshmandasl

An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order

Volume 6, Issue 3, July 2018, Pages 339-352

Khosro Sayevand; Hossein Arab

Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs

Volume 5, Issue 3, July 2017, Pages 246-255

Arman Aghili

Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems

Volume 4, Issue 2, April 2016, Pages 99-115

Elmira Ashpazzadeh; Mehrdad Lakestani

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

Volume 2, Issue 3, July 2014, Pages 195-204

Abdol Ali Neamaty; Bahram Agheli; Mohammad Adabitabar

Computational Methods for Differential Equations

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