000126913 001__ 126913 000126913 005__ 20241125101134.0 000126913 0247_ $$2doi$$a10.1140/epjs/s11734-023-00865-x 000126913 0248_ $$2sideral$$a134338 000126913 037__ $$aART-2023-134338 000126913 041__ $$aeng 000126913 100__ $$aBanerjee, Akash 000126913 245__ $$aLocal a -fractal interpolation function 000126913 260__ $$c2023 000126913 5060_ $$aAccess copy available to the general public$$fUnrestricted 000126913 5203_ $$aConstructions of the (global) fractal interpolation functions on standard function spaces got a lot of attention in the last centuries. Motivated by the newly introduced local fractal functions corresponding to a local iterated functions system which is the generalization of the traditional iterated functions system we construct the local non-affine α - fractal functions in this article. A few examples of the graphs of these functions are provided. A fractal operator which takes the classical function to its local fractal counterpart is defined and some of its properties are also studied. 000126913 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000126913 590__ $$a2.6$$b2023 000126913 592__ $$a0.455$$b2023 000126913 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b37 / 112 = 0.33$$c2023$$dQ2$$eT2 000126913 593__ $$aMaterials Science (miscellaneous)$$c2023$$dQ2 000126913 593__ $$aPhysics and Astronomy (miscellaneous)$$c2023$$dQ2 000126913 593__ $$aPhysical and Theoretical Chemistry$$c2023$$dQ3 000126913 594__ $$a5.1$$b2023 000126913 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000126913 700__ $$aAkhtar, Md. Nasim 000126913 700__ $$0(orcid)0000-0003-4847-0493$$aNavascués, M. A.$$uUniversidad de Zaragoza 000126913 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000126913 773__ $$g232, 7 (2023), 1043-1050$$pEur. phys. j., spec. top.$$tEuropean Physical Journal-Special Topics$$x1951-6355 000126913 8564_ $$s681764$$uhttps://zaguan.unizar.es/record/126913/files/texto_completo.pdf$$yVersión publicada 000126913 8564_ $$s2632507$$uhttps://zaguan.unizar.es/record/126913/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000126913 909CO $$ooai:zaguan.unizar.es:126913$$particulos$$pdriver 000126913 951__ $$a2024-11-22-12:00:17 000126913 980__ $$aARTICLE