Mustafa, Genghiz Octavian
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Mustafa, Octavian G.
Octavian, G. Mustafa
Octavian, G. Mustafa
Job Title
Yrd. Doç. Dr.
Email Address
octavian@cankaya.edu.tr
Main Affiliation
Matematik
Status
Former Staff
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WoS Researcher ID
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SDG data is not available
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Scholarly Output
21
Articles
21
Views / Downloads
3038/904
Supervised MSc Theses
0
Supervised PhD Theses
0
WoS Citation Count
542
Scopus Citation Count
612
WoS h-index
10
Scopus h-index
10
Patents
0
Projects
0
WoS Citations per Publication
25.81
Scopus Citations per Publication
29.14
Open Access Source
10
Supervised Theses
0
Google Analytics Visitor Traffic
| Journal | Count |
|---|---|
| Computers & Mathematics with Applications | 3 |
| Journal of Physics A: Mathematical and Theoretical | 3 |
| Applied Mathematics and Computation | 2 |
| Applied Mathematics Letters | 1 |
| Complex Variables and Elliptic Equations | 1 |
Current Page: 1 / 3
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21 results
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Now showing 1 - 10 of 21
Article Citation - WoS: 12Citation - Scopus: 12A Kamenev-Type Oscillation Result for a Linear (1+α)-Order Fractional Differential Equation(Elsevier Science inc, 2015) Mustafa, Octavian G.; O'Regan, Donal; Baleanu, DumitruWe investigate the eventual sign changing for the solutions of the linear equation (x((alpha)))' + q(t)x = t >= 0, when the functional coefficient q satisfies the Kamenev-type restriction lim sup 1/t epsilon integral(t)(to) (t - s)epsilon q(s)ds = +infinity for some epsilon > 2; t(0) > 0. The operator x((alpha)) is the Caputo differential operator and alpha is an element of (0, 1). (C) 2015 Elsevier Inc. All rights reserved.Article Citation - WoS: 66Citation - Scopus: 72On Lp-solutions for a Class of Sequential Fractional Differential Equations(Elsevier Science inc, 2011) Mustafa, Octavian G.; Agarwal, Ravi P.; Baleanu, DumitruUnder some simple conditions on the coefficient a( t), we establish that the initial value problem ((0)D(t)(alpha)x)' + a(t)x = 0; t > 0; lim(t SE arrow 0)[t(1-alpha)x(t)] = 0 has no solution in L-p((1, +infinity), R), where p-1/p > alpha > 1/p and D-0(t)alpha designates the Riemann-Liouville derivative of order alpha Our result might be useful for developing a non-integer variant of H. Weyl's limit-circle/limit-point classification of differential equations. (C) 2011 Elsevier Inc. All rights reserved.Article Asymptotic integration of (1+alpha)-order fractional differential equations(Pergamon-Elsevier Science Ltd, 2011) Baleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.We establish the long-time asymptotic formula of solutions to the (1 + alpha)-order fractional differential equation (i)(0)O(t)(1+alpha)x + a (t)x = 0, t > 0, under some simple restrictions on the functional coefficient a(t), where (i)(0)O(t)(1+alpha)x is one of the fractional differential operators D-0(t)alpha(x'), ((0)D(t)(alpha)x)' = D-0(t)1+alpha x and D-0(t)alpha(tx' - x). Here, D-0(t)alpha designates the Riemann-Liouville derivative of order a E (0, 1). The asymptotic formula reads as [b + O(1)] . x(small) + c . x(large) as t -> +infinity for given b, c E is an element of R, where x(small) and x(large) represent the eventually small and eventually large solutions that generate the solution space of the fractional differential equation (i)(0)O(t)(1+alpha)x = 0, t > 0.Article Citation - WoS: 10Citation - Scopus: 9On the Existence Interval for the Initial Value Problem of a Fractional Differential Equation(Hacettepe Univ, Fac Sci, 2011) Mustafa, Octavian G.; Baleanu, DumitruWe compute via a comparison function technique, a new bound for the existence interval of the initial value problem for a fractional differential equation given by means of Caputo derivatives. We improve in this way the estimate of the existence interval obtained very recently in the literature.Article Citation - WoS: 78Citation - Scopus: 88On the Solution Set for a Class of Sequential Fractional Differential Equations(Iop Publishing Ltd, 2010) Mustafa, Octavian G.; Agarwal, Ravi P.; Baleanu, DumitruWe establish here that under some simple restrictions on the functional coefficient a(t) the solution set of the fractional differential equation ((0)D(t)(alpha)x)' + a(t) x = 0 splits between eventually small and eventually large solutions as t -> +infinity, where D-0(t)alpha designates the Riemann-Liouville derivative of the order alpha is an element of (0, 1).Article Citation - WoS: 16Citation - Scopus: 18On the Asymptotic Integration of a Class of Sublinear Fractional Differential Equations(Aip Publishing, 2009) Mustafa, Octavian G.; Baleanu, DumitruWe estimate the growth in time of the solutions to a class of nonlinear fractional differential equations D-0+(alpha)(x-x(0))=f(t,x) which includes D-0+(alpha)(x-x(0))=H(t)x(lambda) with lambda is an element of(0,1) for the case of slowly decaying coefficients H. The proof is based on the triple interpolation inequality on the real line and the growth estimate reads as x(t)=o(t(a alpha)) when t ->+infinity for 1>alpha>1-a>lambda>0. Our result can be thought of as a noninteger counterpart of the classical Bihari asymptotic integration result for nonlinear ordinary differential equations. By a carefully designed example we show that in some circumstances such an estimate is optimal.Article Asymptotic Integration of (1 + Α) -Order Fractional Differential Equations(2011) Baleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.We establish the long-time asymptotic formula of solutions to the (1+α)-order fractional differential equation 0iOt1+αx+a(t)x=0, t>0, under some simple restrictions on the functional coefficient a(t), where 0iOt1+α is one of the fractional differential operators 0Dtα(x′), (0Dtαx)′= 0Dt1+αx and 0Dtα(tx′-x). Here, 0Dtα designates the Riemann-Liouville derivative of order α∈(0,1). The asymptotic formula reads as [b+O(1)] ·xsmall+c·xlarge as t→+∞ for given b, c∈R, where xsmall and xlarge represent the eventually small and eventually large solutions that generate the solution space of the fractional differential equation 0iOt1+αx=0, t>0Article Citation - WoS: 153Citation - Scopus: 184On the Global Existence of Solutions To a Class of Fractional Differential Equations(Pergamon-elsevier Science Ltd, 2010) Mustafa, Octavian G.; Baleanu, DumitruWe present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allow for immediate applications of a general comparison type result from [V. Lakshmikantham, AS. Vatsala, Basic theory of fractional differential equations, Nonlinear Anal. TMA 69 (2008), 2677-2682]. (C) 2009 Elsevier Ltd. All rights reserved.Article Asymptotic Integration of (1+Alpha)-Order Fractional Differential Equations(Pergamon-Elsevier Science LTD, 2011) Baleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.We establish the long-time asymptotic formula of solutions to the (1 + alpha)-order fractional differential equation (i)(0)O(t)(1+alpha)x + a (t)x = 0, t > 0, under some simple restrictions on the functional coefficient a(t), where (i)(0)O(t)(1+alpha)x is one of the fractional differential operators D-0(t)alpha(x'), ((0)D(t)(alpha)x)' = D-0(t)1+alpha x and D-0(t)alpha(tx' - x). Here, D-0(t)alpha designates the Riemann-Liouville derivative of order a E (0, 1). The asymptotic formula reads as [b + O(1)] . x(small) + c . x(large) as t -> +infinity for given b, c E is an element of R, where x(small) and x(large) represent the eventually small and eventually large solutions that generate the solution space of the fractional differential equation (i)(0)O(t)(1+alpha)x = 0, t > 0. (C) 2011 Elsevier Ltd. All rights reserved.Article Citation - WoS: 15Citation - Scopus: 28Asymptotically Linear Solutions for Some Linear Fractional Differential Equations(Hindawi Publishing Corporation, 2010) Mustafa, Octavian G.; Agarwal, Ravi P.; Baleanu, DumitruWe establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation 0D(t)(alpha)[tx' - x + x(0)] + a(t)x = 0, t > 0, has a solution expressible as ct + d + o(1) for t -> +infinity, where D-0(t)alpha designates the Riemann-Liouville derivative of order alpha is an element of (0, 1) and c, d is an element of R.
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