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Öğe The exact solutions of the conformable time-fractional modified nonlinear schrodinger equation by the trial equation method and modified trial equation method(Hindawi, 2022) Aderyani, Safoura Rezaei; Saadati, Reza; Vahidi, Javad; Allahviranloo, TofighUsing the trial equation method (TEM) and modified trial equation method (MTEM), firstly, we find the analytical solutions of the conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE), and finally, we present numerical results in tables and charts. © 2022 Safoura Rezaei Aderyani et al.Öğe Existence, uniqueness and matrix-valued fuzzy mittag–leffler–hypergeometric–wright stability for p -hilfer fractional differential equations in matrix-valued fuzzy banach space(Springer Science and Business Media Deutschland GmbH, 2022) Aderyani, Safoura Rezaei; Saadati, Reza; Allahviranloo, TofighWe introduce a new class of fuzzy control functions and define the concept of matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability. Then, we apply Radu–Mihet method derived from an alternative fixed point theorem to investigate existence, uniqueness and matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability of a a class of P-Hilfer fractional differential equations in matrix-valued fuzzy Banach space. Next, we show the main results for unbounded domains. An example is given to illustrate the Mittag–Leffler–Hypergeometric–Wright stability for a fractional system. © 2022, The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional.Öğe Solving the Fornberg-Whitham Model Derived from Gilson-Pickering Equations by Analytical Methods(Mdpi, 2024) O'Regan, Donal; Aderyani, Safoura Rezaei; Saadati, Reza; Allahviranloo, TofighThis paper focuses on obtaining traveling wave solutions of the Fornberg-Whitham model derived from Gilson-Pickering equations, which describe the prorogation of waves in crystal lattice theory and plasma physics by some analytical techniques, i.e., the exp-function method (EFM), the multi-exp function method (MEFM) and the multi hyperbolic tangent method (MHTM). We analyze and compare them to show that MEFM is the optimum method.
