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Fractional calculus

On Riemann-Liouville integrals and Caputo Fractional derivatives via strongly modified (p, h)-convex functions

Ammara Nosheen, Khuram Ali Khan, Mudassir Hussain Bukhari, Michael Kikomba Kahungu, A. F. Aljohani

published 15 Oct 2024

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Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives

Sabri T. M. Thabet, Abdelatif Boutiara, Mohammad Esmael Samei, Imed Kedim, Miguel Vivas-Cortez

published 02 Oct 2024

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Numerical solution of multi-dimensional time-fractional diffusion problems using an integral approach

Muhammad Nadeem, Shamoona Jabeen, Fawziah M. Alotaibi, Yahya Alsayaad

published 23 Sep 2024

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Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions

Shahram Rezapour, Sabri T. M. Thabet, Ava Sh. Rafeeq, Imed Kedim, Miguel Vivas-Cortez, Nasser Aghazadeh

published 01 Jul 2024

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Efficient simulation of Time-Fractional Korteweg-de Vries equation via conformable-Caputo non-Polynomial spline method

Majeed A. Yousif, Faraidun K. Hamasalh, Ahmad Zeeshan, Mohamed Abdelwahed

published 26 Jun 2024

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Well-posedness analysis and pseudo-Galerkin approximations using Tau Legendre algorithm for fractional systems of delay differential models regarding Hilfer (α,β)-framework set

Hind Sweis, Omar Abu Arqub, Nabil Shawagfeh

published 25 Jun 2024

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Numerical investigation of two-dimensional fuzzy fractional heat problem with an external source variable

Muhammad Nadeem, Saad H. Alotaibi, Fawziah M. Alotaibi, Yahya Alsayaad

published 21 Jun 2024

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An efficient scheme for nonlinear shock wave model in a fractal domain under Caputo fractional operator

Muhammad Nadeem, Yahya Alsayaad

published 10 Jun 2024

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Investigation on integro-differential equations with fractional boundary conditions by Atangana-Baleanu-Caputo derivative

Samy A. Harisa, Nashat Faried, V. Vijayaraj, C. Ravichandran, Ahmed Morsy

published 31 May 2024

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Solution of time-fractional gas dynamics equation using Elzaki decomposition method with Caputo-Fabrizio fractional derivative

Maasoomah Sadaf, Zahida Perveen, Ghazala Akram, Ume Habiba, Muhammad Abbas, Homan Emadifar

published 30 May 2024

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Existence and uniqueness of well-posed fractional boundary value problem

Yuanheng Wang, Barrira Jurrat, Muddasir Ejaz, Muhammad Azeem, M. I. Elashiry

published 28 May 2024

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Exploring fractional-order new coupled Korteweg-de Vries system via improved Adomian decomposition method

Muhammad Arshad, Saud Fahad Aldosary, Saba Batool, Irfan Hussain, Naveed Hussain

published 28 May 2024

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An efficient computational scheme for solving coupled time-fractional Schrödinger equation via cubic B-spline functions

Afzaal Mubashir Hayat, Muhammad Abbas, Homan Emadifar, Ahmed S. M. Alzaidi, Tahir Nazir, Farah Aini Abdullah

published 16 May 2024

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