[1] P. Agarwal, M. Chand, and E.T. Karimov, Certain image formulas of generalized hypergeometric functions, Appl. Math. Comput. 266 (2015), 763–772.
[2] P. Agarwal, Q. Al-Mdallal, Y.J. Cho, and S. Jain, Fractional differential equations for the generalized Mittag[1]Leffler function, Adv. Difference Equ. 2018 (2018), 1–8.
[3] M. Arshad, S. Mubeen, K.S. Nisar, and G. Rahman, Extended Wright-Bessel function and its properties, Commun. Korean Math. Soc. 33 (2018), no. 1, 143–155.
[4] J. Choi, K.B. Kachhia, J.C. Prajapati, and S.D. Purohit, Some integral transforms involving extended generalized Gauss hypergeometric functions, Commun. Korean Math. Soc. 31 (2016), no. 4, 779–790.
[5] L. Debnath and D. Bhatta, Integral Transform and Their Applications, 2nd edition, C.R.C. Press, London, 2007.
[6] R.K. Gupta, B.S. Shaktawat, and D. Kumar, Certain relation of generalized fractional calculus associated with the generalized Mittag-Leffler function, J. Rajasthan Acad. Phys. Sci. 15 (2016), no. 3, 117–126.
[7] R.K. Gupta, B.S. Shaktawat, and D. Kumar, Marichev-Saigo-Maeda fractional calculus operators involving generalized Mittag-Leffler function, J. Chem. Bio. Phys. Sci. Sec. C 6 (2016), no. 2, 556–567.
[8] A. Kilicman and H. Eltayeb, On a new integral transform and differential equations, Math. Probl. Eng. 2010 (2010), 1–13.
[9] V. Kiryakova, Generalized Fractional Calculus and Application, Wiley and Sons Inc., New York, 1994.
[10] V. Kiryakova, On two Saigo’s fractional integral operators in the class of univalent functions, Fract. Cal. Appl. Anal. 9 (2006), no. 2, 161–176.
[11] D. Kumar, On certain fractional calculus operators involving generalized Mittag-Leffler function, Sahand Commun. Math. Anal. 3 (2016), no. 2, 33–45.
[12] D. Kumar, An extension of the τ -Gauss hypergeometric functions and its properties, Math. Sci. Appl. E-Notes 5 (2017), no. 1, 57–63.
[13] D. Kumar, J. Choi and, H.M. Srivastava, Solution of a general family of fractional kinetic equations associated with the generalized Mittag-Leffler function, Nonlinear Funct. Anal. Appl. 23 (2018), no. 3, 455–471.
[14] D. Kumar, R.K. Gupta, and D.S. Rawat, Marichev–Saigo–Maeda fractional differential operator involving Mittag–Leffler type function with four parameters, J. Chem. Bio. Phys. Sci. Sec. C 7 (2017), no. 2, 201–210.
[15] D. Kumar, R.K. Gupta, B.S. Shaktawat, and J. Choi, Generalized fractional calculus formulas involving the product of Aleph-function and Srivastava polynomials, Proc. Jangjeon Math. Soc. 20 (2017), no. 4, 701–717.
[16] D. Kumar and S. Kumar, Fractional integrals and derivatives of the generalized Mittag-Leffler type function, Int. Sch. Res. Not. 2014 (2014), 1–5.
[17] D. Kumar and S.D. Purohit, Fractional differintegral operators of the generalized Mittag-Leffler type function, Malaya J. Mat. 2 (2014), no. 4, 419–425.
[18] D. Kumar, J. Ram, and J. Choi, Dirichlet averages of generalized Mittag–Leffler type function, Fractal Fract. 6 (2022), no. 6, 297.
[19] D. Kumar and R.K. Saxena, Generalized fractional calculus of the M-series involving F3 hypergeometric function, Sohag J. Math. 2 (2015), no. 1, 17–22.
[20] A.M. Mathai, R.K. Saxena, and H.J. Houbold, The H-Functions, Theory and Applications, Springer, New York, 2010.
[21] N. Menaria, S.D. Purohit, and D. Kumar, On fractional integral inequalities involving the Saigo’s fractional integral operators, J. Sci. Arts 37 (2016), no. 4, 289–294.
[22] M.A. Ozarslan and B. Yilmaz, The extended Mittag-Leffler function and its properties, J. Inequal. Appl. 2014 (2014), 1–10.
[23] E. Ozergin, M.A. Ozarslan, and A. Altin, Extension of gamma, beta and hypergeometric functions, J. Comput. Appl. Math. 235 (2011), 4601–4616.
[24] R.K. Parmar, A class of extended Mittag-Leffler functions and their properties related to integral transforms and fractional calculus, Mathematics 3 (2015), 1069–1082.
[25] T.R. Prabhakar, A singular integral equation with a generalized Mittag-Leffler functions in the kernel, Yokohama Math. J. 19 (1971), 7–15.
[26] M. Saigo, A remark on integral operators involving the Gauss hypergeometric functions, Rep. College General Edu. 1 (1978), 135–143.
[27] R.K. Saxena and D. Kumar, Generalized fractional calculus of the Aleph-function involving a general class of polynomials, Acta Math. Sci. Ser. B (Engl. Ed.) 35 (2015), no. 5, 1095–1110.
[28] B.S. Shaktawat, R.K. Gupta, and D. Kumar, Generalized fractional kinetic equations and its solutions involving generalized Mittag-Leffler function, J. Rajasthan Acad. Phys. Sci. 16 (2017), no. 1-2, 63–74.
[29] S.C. Sharma and M. Devi, Certain properties of extended Wright generalized hypergeometric function, Ann. Pure Appl. Math. 9 (2015), 45–51.
[30] S.K. Sharma and A.S. Shekhawat, A unified presentation of generalized fractional integral operators and H[1]function, Glob. J. Pure Appl. Math. 13 (2017), no. 2, 393–403.
[31] S.K. Sharma and A.S. Shekhawat, Some fractional results based on extended Gauss hypergeometric functions and integral transform, J. Mech. Cont.& Math. Sci. 14(4) (2019), 538–557.
[32] I.N. Sneddon, The Use of Integral Transform, Tata McGraw-Hill, New Delhi, India, 1979.
[33] H.M. Srivastava, R.K. Parmar, and P. Chopra, A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions, Axioms 1 (2012), no. 3, 238–258.
[34] E.M. Wright, The asymptotic expansion of the generalized Bessel function, Proc. Lond. Math. Soc. 38 (1935), no. 2, 257–270.
[35] E.M. Wright, The asymptotic expansion of the generalized hypergeometric function II, Proc. London Math. Soc. 46 (1935), no. 2, 389–408.
International Journal of Nonlinear Analysis and Applications
)