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Öğe New inequalities for hyperbolic lucas functions(2022) Issa, Ahmad; Ibrahımov, SeyranThis article introduces the classic Wilker’s, Wu-Srivastava, Hugyen’s, Cusa-Hugyen’s, and Wilker’s-Anglesio type inequalities for hyperbolic Lucas functions with some new refinements.Öğe Solution of Partial Differential Equations and Their Application by Three Parameters of Integral Transform(Science Research Society, 2024-11-07) Salman, Nour K.; Aldhlki, Talat Jassim; Kuffi, Emad A.; Issa, AhmadThis article explains the Nour integral transform technique and denoted by "NO transform ", it's fundamental hypothesis and its power to solve the exact solution of partial differential operator equations (PDOE's) have been introduced and shown by the exact solution of various elementary engineering partial differential operator equations such as: wave partial equation, heat partial equation, Laplace’s partial equation, telegraph partial equation, and Klein-Gordon partial equation.Öğe Solutions to differential-differential difference equations with variable coefficients by using fourier transform method(2023) Düz, Murat; Avezov, Sunnet; Issa, AhmadIn this paper, differential-differential difference equations with variable coefficients have been solved using the Fourier Transform Method (FTM). In addition, new definitions and theorems are introduced. Besides, the efficiency of the proposed method is verified by solving five important examples. Furthermore, we have noted that the Fourier transform method is a powerful technique for solving ordinary differential difference equations (ODDEs) with variable coefficients. It involves transforming the ODDEs into the frequency domain using the Fourier transform, solving the transformed equation, and then applying the inverse Fourier transform to obtain the solution in the time domain.Öğe Solving difference equations using fourier transform method(Yildiz Technical Univ, 2024) Avezov, Sunnet; Issa, Ahmad; Duz, MuratThis article mainly focuses on presenting a new accurate technique (Fourier Transform Method) for solving linear of mth order Difference Equations with constant coefficients. Also, a new lower triangular matrix was introduced to overcome problems related to finding the Fourier Transform of polynomials by rewriting standard-based polynomials through the fallen power polynomial base. Besides, five examples have been presented to illustrate the validity and accuracy of this method. The results reveal that the Fourier transform method is very effective and attractive in solving the difference equations.