Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Book Part Citation - Scopus: 8Advanced Topics in Fractional Differential Equations a Fixed Point Approach(Springer Nature, 2023) Benchohra, M.; Karapınar, Erdal; Karapınar, E.; Lazreg, J.E.; Salim, A.; MatematikBook Part Citation - WoS: 7Delay Effects on the Dynamics of the Lengyel-Epstein Reaction-Diffusion Model(Springer international Publishing Ag, 2016) Merdan, Huseyin; Bilazeroğlu, Şeyma; Kayan, Seyma; MatematikBook Part Tables of Local Fractional Laplace Transform Operators(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part Local Fractional Derivatives of Elementary Functions(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part Local Fractional Maclaurin's Series of Elementary Functions(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part Citation - Scopus: 2On Analytical Methods for Differential Equations With Local Fractional Derivative Operators(Nova Science Publishers, Inc., 2014) Yang, X.-J.; Baleanu, Dumitru; Baleanu, D.; Machado, J.A.T.; MatematikThis chapter reviews new analytical methods for a family of differential equations with local fractional derivatives. We concentrate mainly on Fourier series, and Fourier and Laplace transforms with local fractional operators. The potential applications of the reported results are discussed. © 2015 Nova Science Publishers, Inc.Book Part The Analogues of Trigonometric Functions Defined on Cantor Sets(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part Coordinate Systems of Cantor-Type Cylindrical and Cantor-Type Spherical Coordinates(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part Tables of Local Fractional Fourier Transform Operators(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part Generalized Diamond Alpha Bennett-Leindler Dynamic Inequalities(De Gruyter, 2023) Kaymakçalan, B.; Pelen, N.N.; Kayar, Z.The dual results; delta and nabla inequalities and their special cases; continuous and discrete inequalities are unified into diamond alpha case and new forms of such results as well as new diamond alpha Bennett-Leindler-type dynamic inequalities are established by developing a novel method, which does not require the Integration by Parts Formula and the Fundamental Theorem of Calculus. These theorems are standard arguments in the proofs of Bennett-Leindler-type dynamic inequalities in the delta and nabla approaches but do not follow naturally in the diamond alpha calculus. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.