AbuJarad, Eman S. A.Jarad, FahdSrivastava, GautamAbuJarad, Mohammed H. A.Srivastava, Hari M.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2023-02-082025-09-182023-02-082025-09-182021Srivastava, Hari M...et al. (2021). "The marichev-saigo-maeda fractional-calculus operators involving the (P, q)-extended bessel and bessel-wright functions", Fractal and Fractional, Vol. 5, No. 4.2504-3110https://doi.org/10.3390/fractalfract5040210https://hdl.handle.net/20.500.12416/13505Srivastava, Gautam/0000-0001-9851-4103; Jarad, Fahd/0000-0002-3303-0623; Srivastava, Hari M./0000-0002-9277-8092The goal of this article is to establish several new formulas and new results related to the Marichev-Saigo-Maeda fractional integral and fractional derivative operators which are applied on the (p,q)-extended Bessel function. The results are expressed as the Hadamard product of the (p,q)-extended Gauss hypergeometric function Fp,q and the Fox-Wright function r psi s(z). Some special cases of our main results are considered. Furthermore, the (p,q)-extended Bessel-Wright function is introduced. Finally, a variety of formulas for the Marichev-Saigo-Maeda fractional integral and derivative operators involving the (p,q)-extended Bessel-Wright function is established.eninfo:eu-repo/semantics/openAccessOperators Of Fractional Calculus(P, Q)-Extensions Of Special Functions(P, Q)-Extended Bessel Function(P, Q)-Extended Gauss Hypergeometric Function(P, Q)-Extended Bessel-Wright FunctionFox-Wright FunctionMarichev-Saigo-Maeda Fractional Integral And Fractional Derivative OperatorsEuler-Darboux Partial Differential EquationArticle10.3390/fractalfract50402102-s2.0-85119148165