الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
The solvability of nonlocal problems offractional order shas been discussed bymany authors; see, forexample, refs.[1–9 Many exist enceanduni quenessresults of differential equations an dinclusions with nonlocal boundary conditions have been investigatedby somer esearcher sand using different techniques (see[4–8] and there ferences there in Some exist enceresu lts undermixed Lipschitz and C ara the odorycondit ionshavebeen discussed forfunctional integro-differential equations offractional orders ,and theex istence of some properties of the soluti on hasbeenpr oved in[6] Subashini etal.[10] discussed the exist enceofanonl ocalfractional integro-differential problemo ftheHilfertypebyapplying the Monch fixed-point the oremandt echniques of measure ofnoncompactness.An investigationdes cribedtheappli cability of the aprioriestimatemethodona nonlocal, nonlinearfractionaldifferential equation for which theweaksolutionandthe unique solutionexist[11].