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Ata, E. (2018). Generalized beta function defined by Wright function. arXiv preprint arXiv:1803.03121.
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Ata, E., & Kıymaz, İ. O. (2020). A study on certain properties of generalized special functions defined by Fox-Wright function. Applied Mathematics and Nonlinear Sciences, 5(1), 147--162.
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Ata, E., & Kıymaz, İ. O. (2022). Generalized gamma, beta and hypergeometric functions defined by Wright function and applications to fractional differential equations. Cumhuriyet Science Journal, 43(4), 684--695.
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Ata, E. (2022). Modified special functions defined by generalized M-series and their properties. arXiv preprint arXiv:2201.00867.
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Ata, E., & Kıymaz, İ. O. (2023). New generalized Mellin transform and applications to partial and fractional differential equations. Int. J. Math. Comput. Eng, 1(1), 45--66.
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Ata, E. (2023). M-Lauricella hypergeometric functions: Integral representations and solutions of fractional differential equations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 72(2), 512--529.
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Ata, E., & Kıymaz, İ. O. (2023). A new generalized Laplace transform and its applications to fractional Bagley-Torvik and fractional harmonic vibration problems. Miskolc Mathematical Notes, 24(2), 597--610.
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Ata, E., & Kıymaz, İ. O. (2023). New fractional operators including Wright function in their kernels. Turkish Journal of Mathematics and Computer Science, 15(1), 79--88.
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Ata, E. (2023). On the new fractional operators generating modified gamma and beta functions. Miskolc Mathematical Notes, 24(3), 1127--1144.
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Kaurangini, M. L., Chaudhary, M. P., Ata, E., Kıymaz İ. O., & Abubakar, U. M. (2023). Fractional calculus and fractional kinetic equation involving extended hypergeometric function. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 11(1), 159--174.
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Chaudhary, M. P., Kaurangini, M. L., Kıymaz, İ. O., Abubakar, U. M., & Ata, E. (2023). Fractional integrations for the new generalized hypergeometric functions. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(2), 77--100.
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Kaurangini, M. L., Chaudhary, M. P., Abubakar, U. M., Kıymaz, İ. O., & Ata, E. (2023). On some extended special functions wıth the bi-Fox-Wright function kernel. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 11(1), 17--42.
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Ata, E., & Kıymaz, İ. O. (2024). New generalized special functions with two generalized M-series at their kernels and solution of fractional PDEs via double Laplace transform. Computational Methods for Differential Equations, 12(1), 31--43.
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Ata, E., Kıymaz, İ. O., Agarwal, P., Jain, S., & Momani, S. (2024). Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples. Partial Differential Equations in Applied Mathematics, 11, 100720.
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Ata, E., & Kıymaz, İ. O. (2024). On the generating functions of the newly defined generalized hypergeometric functions. TWMS Journal Of Applied And Engineering Mathematics, 14(1), 64--78.
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Ata, E., & Kıymaz, İ. O. (2024). Generalized Fourier transform: Illustrative examples and applications to differential equations. Journal of Mathematical Analysis, 15(2), 14--33.
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Ata, E. (2024). M-Srivastava hypergeometric functions: Integral representations and solution of fractional differential equations. Miskolc Mathematical Notes, 25(1), 93--108.
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Ata, E., & Kıymaz, İ. O. (2024). Modified special functions: Properties, integral transforms and applications to fractional differential equations. Boletim da Sociedade Paranaense de Matemática, 42, 1--22.
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Kaurangini, M. L., Chaudhary, M. P., Ata, E., Abubakar U. M., & Kıymaz, İ. O. (2024). On some applications of the new extended hypergeometric function. Journal of Contemporary Applied Mathematics, 14(1), 28--45.
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Kaurangini, M. L., Abubakar, U. M., & Ata, E. (2025). Generalized pathway fractional integral formulas involving extended multi-index Mittag-Leffler function in kernel of SUM transform. MANAS Journal of Engineering, 13(1), 18--22.
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Ata, E., & Kıymaz, İ. O. (2025). Special functions with general kernel: Properties and applications to fractional partial differential equations. International Journal of Mathematics and Computer in Engineering, 3(2), 153--170.
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Ata, E., Kıymaz, İ. O., & Başkonuş, H. M. (2025). Advanced fractional calculus approach to RC electrical circuit modeling: Analytical solutions and comparative behavioral analysis. Analog Integrated Circuits and Signal Processing, 125(2), 1--11.
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Ata, E. & Kıymaz, İ. O. (2025). New generalized Fourier transforms and their applications to ordinary, partial and fractional differential equations. Miskolc Mathematical Notes, 26(2), 559--577.
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Kaurangini, M., Abubakar, U. M., & Ata, E. (2025). Unified Mittag-Leffler function and associated integral transforms and fractional integral operators. Turkish Journal of Mathematics and Computer Science, 17(2), 534--543.
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Ata, E. (2026). A general kernel-based beta function approach to the forward expansion of generalized M-series with applications to fractional operators and integral transforms. Boletín de la Sociedad Matemática Mexicana, 32(1):41, 1--25.
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Ata, E., & Kıymaz, İ. O. (2026). A novel generalized type of the Caputo fractional derivative: Integral transforms, illustrative examples, and solution of fractional-order generalized differential equations, Research Square.
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Ata, E. (2026). Higher-order partial differentiation formulas for extended Srivastava hypergeometric functions via a general kernel-based beta function, Preprints.
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Ata, E. (2026). A novel fractional calculus approach to Newton's law of cooling: numerical examples and comparative analysis of dynamic behaviors. Archive of Applied Mechanics, 96(147), 1--25.
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Ata, E., Gunduz, H., & Celik, E. (2026). New extended Srivastava hypergeometric functions and their various integral representations. Turkish Journal of Inequalities, 10(1), 131--141.
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Ata, E. (2026). Generalized Laplace transform approach to modelling a Caputo fractional differential equation involving the Appell function F3. Journal of Mathematical Sciences and Modelling, 9(3), 183--190.