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http://142.54.178.187:9060/xmlui/handle/123456789/7461
Title: | FRACTIONAL DIFFERENTIAL EQUATIONS IN NONREFLEXIVE BANACH SPACES |
Authors: | Rahman, Ghaus ur |
Keywords: | Natural Sciences |
Issue Date: | 2012 |
Publisher: | GC UNIVERSITY LAHORE, PAKISTAN |
Abstract: | This thesis is devoted to fractional calculus in nonreflexive Banach spaces and exis- tence results for the fractional differential equations. Using fractional Pettis integral and fractional pseudo-derivative, we discussed fractional calculus and fractional dif- ferential equations in nonreflexive Banach spaces, equipped with weak topology. We obtained some results on existence of solution of fractional differential equations. Furthermore, applying fractional Pettis integral and fractional pseudo-derivative we discussed the existence of solution of multi-term fractional differential equation, in nonreflexive Banach spaces, equipped with weak topology. Finally, assuming the concept of Riemann-Pettis integral, we introduced and studied the notions of frac- tional Riemann-Pettis integral and fractional Caputo weak derivative. Using these tool we obtained an existence result for weak solution of fractional differential equa- tions in a nonreflexive Banach space equipped with the weak topology. |
URI: | http://142.54.178.187:9060/xmlui/handle/123456789/7461 |
Appears in Collections: | Thesis |
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