Fractal and Fractional | |
Novel Numerical Investigations of Fuzzy Cauchy Reaction–Diffusion Models via Generalized Fuzzy Fractional Derivative Operators | |
Manar A. Alqudah1  Thabet Abdeljawad2  Saima Rashid3  Jagdev Singh4  Rehana Ashraf5  Zakia Hammouch6  | |
[1] Department Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia;Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia;Department of Mathematics, Government College University, Faisalabad 38000, Pakistan;Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India;Department of Mathematis, Lahore College for Women University, Lahore 54000, Pakistan;Ecole Normale Supéerieure de Meknés, Université Moulay Ismail, Meknes 50000, Morocco; | |
关键词: Shehu transform; Caputo fractional derivative; AB-fractional operator; homotopy perturbation method; Cauchy reaction–diffusion equation; | |
DOI : 10.3390/fractalfract5040151 | |
来源: DOAJ |
【 摘 要 】
The present research correlates with a fuzzy hybrid approach merged with a homotopy perturbation transform method known as the fuzzy Shehu homotopy perturbation transform method (SHPTM). With the aid of Caputo and Atangana–Baleanu under generalized Hukuhara differentiability, we illustrate the reliability of this scheme by obtaining fuzzy fractional Cauchy reaction–diffusion equations (CRDEs) with fuzzy initial conditions (ICs). Fractional CRDEs play a vital role in diffusion and instabilities may develop spatial phenomena such as pattern formation. By considering the fuzzy set theory, the proposed method enables the solution of the fuzzy linear CRDEs to be evaluated as a series of expressions in which the components can be efficiently identified and generating a pair of approximate solutions with the uncertainty parameter
【 授权许可】
Unknown