On Martínez–Kaabar Fractal–Fractional Volterra Integral Equations of the Second Kind
Francisco Martínez,
Mohammed K. A. Kaabar
Abstract:The extension of the theory of generalized fractal–fractional calculus, named in this article as Martínez–Kaabar Fractal–Fractional (MKFF) calculus, is addressed to the field of integral equations. Based on the classic Adomian decomposition method, by incorporating the MKFF α,γ-integral operator, we establish the so-called extended Adomian decomposition method (EADM). The convergence of this proposed technique is also discussed. Finally, some interesting Volterra Integral equations of non-integer order which p… Show more
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