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ON SYSTEMS OF FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS FOR ORDER 1 < 𝜗 ≤ 2

JOURNAL ARTICLE published January 2023 in Fractals

Research funded by Deanship of Scientific Research at King Khalid University (R.G.P.2/210/43) | High-level Innovative Talents of Guizhou Province ([2016]5651) | Prince Sattam bin Abdulaziz University (PSAU/2023/R/1444)

Authors: CHANGJIN XU | SANA TAHIR | KHURSHEED J. ANSARI | MATI UR RAHMAN | FUAD S. AL-DUAIS

EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA–BALEANU DERIVATIVE

JOURNAL ARTICLE published January 2023 in Fractals

Research funded by Princess Nourah Bint Abdulrahman University Researchers (PNURSP2023R14)

Authors: AHSAN ABBAS | NAYYAR MEHMOOD | ALI AKGĂśL | THABET ABDELJAWAD | MANAR A. ALQUDAH

A NEW NUMERICAL TREATMENT FOR FRACTIONAL DIFFERENTIAL EQUATIONS BASED ON NON-DISCRETIZATION OF DATA USING LAGUERRE POLYNOMIALS

JOURNAL ARTICLE published December 2020 in Fractals

Authors: ADNAN KHAN | KAMAL SHAH | MUHAMMAD ARFAN | THABET ABDELJAWAD | FAHD JARAD

EXISTENCE OF 3-WEAK SOLUTIONS FOR A NEW CLASS OF AN OVERDETERMINED SYSTEM OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

JOURNAL ARTICLE published December 2020 in Fractals

Authors: SALAH BOULAARAS | RAFIK GUEFAIFIA | ASMA ALHARBI | BAHRI CHERIF

Chapter 2. Laplacian

BOOK CHAPTER published 31 December 2006 in Differential Equations on Fractals

A generalized coupled system of fractional differential equations with application to finite time sliding mode control for Leukemia therapy

JOURNAL ARTICLE published September 2023 in Chaos, Solitons &amp; Fractals

Authors: Hasib Khan | Saim Ahmed | Jehad Alzabut | Ahmad Taher Azar

Fractional differential equations with Atangana–Baleanu fractional derivative: Analysis and applications

JOURNAL ARTICLE published June 2019 in Chaos, Solitons &amp; Fractals: X

Authors: M.I. Syam | Mohammed Al-Refai

Chapter 5. Further Topics

BOOK CHAPTER published 31 December 2006 in Differential Equations on Fractals

EXISTENCE AND STABILITY THEORIES FOR A COUPLED SYSTEM INVOLVING p-LAPLACIAN OPERATOR OF A NONLINEAR ATANGANA–BALEANU FRACTIONAL DIFFERENTIAL EQUATIONS

JOURNAL ARTICLE published February 2022 in Fractals

Research funded by the National Natural Science Foundation of China (12172340,12172340) | the Fundamental Research Funds for the Central Universities, China University of Geosciences (CUGGC05)

Authors: WADHAH AL-SADI | ZHOUCHAO WEI | IRENE MOROZ | TARIQ Q. S. ABDULLAH

OPTIMAL CONTROL OF NONLINEAR TIME-DELAY FRACTIONAL DIFFERENTIAL EQUATIONS WITH DICKSON POLYNOMIALS

JOURNAL ARTICLE published June 2021 in Fractals

Authors: SHU-BO CHEN | SAMANEH SORADI-ZEID | MARYAM ALIPOUR | YU-MING CHU | J. F. GĂ“MEZ-AGUILAR | HADI JAHANSHAHI

Nonparametric estimation for uncertain fractional differential equations

JOURNAL ARTICLE published January 2024 in Chaos, Solitons &amp; Fractals

Authors: Liu He | Yuanguo Zhu

Improved spectral deferred correction methods for fractional differential equations

JOURNAL ARTICLE published March 2023 in Chaos, Solitons &amp; Fractals

Research funded by National Natural Science Foundation of China (12171205)

Authors: Changqing Yang

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations

JOURNAL ARTICLE published September 2019 in Chaos, Solitons &amp; Fractals

Authors: Omar Abu Arqub | Banan Maayah

Probabilistic solutions of fractional differential and partial differential equations and their Monte Carlo simulations

JOURNAL ARTICLE published January 2023 in Chaos, Solitons &amp; Fractals

Authors: T. Oraby | E. Suazo | H. Arrubla

Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order

JOURNAL ARTICLE published May 2020 in Chaos, Solitons &amp; Fractals

Authors: M.A. Abdelkawy | AntĂłnio M. Lopes | Mohammed M. Babatin

COMMENTS ON "RIEMANN–CHRISTOFFEL TENSOR IN DIFFERENTIAL GEOMETRY OF FRACTIONAL ORDER APPLICATION TO FRACTAL SPACE-TIME", [FRACTALS 21 (2013) 1350004]

JOURNAL ARTICLE published June 2015 in Fractals

Authors: VASILY E. TARASOV

Finite-approximate controllability of semilinear fractional stochastic integro-differential equations

JOURNAL ARTICLE published October 2020 in Chaos, Solitons &amp; Fractals

Authors: N.I. Mahmudov

Nonlinear impulsive problems for uncertain fractional differential equations

JOURNAL ARTICLE published April 2022 in Chaos, Solitons &amp; Fractals

Research funded by National Natural Science Foundation of China (61673011)

Authors: Ziqiang Lu | Yuanguo Zhu

APPLICATION OF HOSOYA POLYNOMIAL TO SOLVE A CLASS OF TIME-FRACTIONAL DIFFUSION EQUATIONS

JOURNAL ARTICLE published January 2023 in Fractals

Research funded by National Research Foundation of Korea (NRF-2020K1A3A1A05101625)

Authors: HOSSEIN JAFARI | ROGHAYEH MOALLEM GANJI | SONALI MANDAR NARSALE | MALUTI KGAROSE | VAN THINH NGUYEN

Stochastic controllability of semilinear fractional control differential equations

JOURNAL ARTICLE published September 2023 in Chaos, Solitons &amp; Fractals

Authors: Pooja Gautam | Anurag Shukla