dc.contributor.author |
Rahman, Ghaus ur |
|
dc.date.accessioned |
2017-12-14T04:57:12Z |
|
dc.date.accessioned |
2020-04-14T19:24:16Z |
|
dc.date.available |
2020-04-14T19:24:16Z |
|
dc.date.issued |
2012 |
|
dc.identifier.uri |
http://142.54.178.187:9060/xmlui/handle/123456789/7461 |
|
dc.description.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. |
en_US |
dc.description.sponsorship |
Higher Education Commission, Pakistan |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
GC UNIVERSITY LAHORE, PAKISTAN |
en_US |
dc.subject |
Natural Sciences |
en_US |
dc.title |
FRACTIONAL DIFFERENTIAL EQUATIONS IN NONREFLEXIVE BANACH SPACES |
en_US |
dc.type |
Thesis |
en_US |