Mustafa, Genghiz Octavian

Profile URL
https://hdl.handle.net/20.500.12416/9269
Name Variants
Mustafa, Octavian G. & Octavian, G. Mustafa
Job Title
Yrd. Doç. Dr.
Email Address
octavian@cankaya.edu.tr
Main Affiliation
Matematik
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

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Scholarly Output

21

Articles

21

Views / Downloads

3044/940

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

544

Scopus Citation Count

612

Patents

0

Projects

0

WoS Citations per Publication

25.90

Scopus Citations per Publication

29.14

Open Access Source

10

Supervised Theses

0

JournalCount
Computers & Mathematics with Applications3
Journal of Physics A: Mathematical and Theoretical3
Applied Mathematics and Computation2
Applied Mathematics Letters1
Complex Variables and Elliptic Equations1
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2008 - 200942010 - 201517

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Author of Publication: search.filters.isAuthorOfPublication.666ca8b3-5f8e-4f44-804e-8ad944bc2938

Scholarly Output Search Results

Now showing 1 - 10 of 21
  • 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: 12
    Citation - Scopus: 12
    A Kamenev-Type Oscillation Result for a Linear (1+α)-Order Fractional Differential Equation
    (Elsevier Science inc, 2015) Mustafa, Octavian G.; O'Regan, Donal; Baleanu, Dumitru; Bəleanu, Dumitru
    We 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
    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 - Scopus: 1
    Positive Solutions of Some Elliptic Differential Equations With Oscillating Nonlinearity
    (Taylor & Francis Ltd, 2012) Mustafa, Octavian G.; O'Regan, Donal; Jarad, Fahd
    We discuss the occurrence of positive solutions which decay to 0 as vertical bar xj vertical bar ->+infinity the differential equation Delta u+f(x, u)+g(vertical bar x vertical bar)x . del u=0, vertical bar xj vertical bar>R>0, x is an element of R-n, where n >= 3, g is nonnegative valued and f has alternating sign, by means of the comparison method. Our results complement several recent contributions from Ehrnstrom and Mustafa [ M. Ehrnstrom, O.G. Mustafa, On positive solutions of a class of nonlinear elliptic equations, Nonlinear Anal. TMA 67 (2007), pp. 1147-1154].
  • Article
    Citation - WoS: 66
    Citation - Scopus: 72
    On L<sup>p</Sup>-solutions for a Class of Sequential Fractional Differential Equations
    (Elsevier Science inc, 2011) Mustafa, Octavian G.; Agarwal, Ravi P.; Baleanu, Dumitru
    Under 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
    Citation - WoS: 18
    Citation - Scopus: 22
    A Nagumo-Like Uniqueness Theorem for Fractional Differential Equations
    (Iop Publishing Ltd, 2011) Mustafa, Octavian G.; O'Regan, Donal; Baleanu, Dumitru; ORegan, Donal
    We extend to fractional differential equations a recent generalization of the Nagumo uniqueness theorem for ordinary differential equations of first order.
  • Article
    On a boundary value problem for a second order ODE
    (Çankaya Üniversitesi, 2008) Octavian, G. Mustafa
    We investigate the existence of solutions to a boundary value problem for a second order ordinary differential equation (ODE) over an unbounded interval. The conclusions are useful in studying certain reaction-diffusion equations via the comparison method
  • Article
    Citation - WoS: 28
    Citation - Scopus: 30
    Asymptotic Integration of (1+α)-Order Fractional Differential Equations
    (Pergamon-elsevier Science Ltd, 2011) Mustafa, Octavian G.; Agarwal, Ravi P.; Baleanu, Dumitru
    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: 103
    Citation - Scopus: 105
    An Existence Result for a Superlinear Fractional Differential Equation
    (Pergamon-elsevier Science Ltd, 2010) Mustafa, Octavian G.; Agarwal, Ravi P.; Baleanu, Dumitru
    We establish the existence and uniqueness of solution for the boundary value problem D-0(t)alpha(x') + a(t)x(lambda) = 0, t > 0, x' (0) = 0, lim(t ->+infinity) x(t) = 1, where D-0(t)alpha designates the Riemann-Liouville derivative of order alpha epsilon (0, 1) and lambda > 1. Our result might be useful for establishing a non-integer variant of the Atkinson classical theorem on the oscillation of Emden-Fowler equations. (C) 2010 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 9
    On the Existence Interval for the Initial Value Problem of a Fractional Differential Equation
    (Hacettepe Univ, Fac Sci, 2011) Mustafa, Octavian G.; Baleanu, Dumitru
    We 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.