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  • 1.
    Mursaleen, Mohammad
    et al.
    Aligarh Muslim University, India.
    Pourhadi, Ehsan
    Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA). Iran University of Science and Technology, Iran.
    Saadati, Reza
    Iran University of Science and Technology, Iran.
    Solvability of infinite systems of second-order differential equations with boundary conditions in lp: Solvability of infinite systems2019Ingår i: Quaestiones Mathematicae. Journal of the South African Mathematical Society, ISSN 1607-3606, E-ISSN 1727-933X, s. 1-20Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    In this paper, governed by the fundamental solutions we introduce the Green’s function of the second-order differential equations in general form with respect to boundary conditions and deal with the solvability of the infinite system of a second-order differential equations. Using the ideas of Hausdorff measure of noncompactness and Meir-Keleer condensing operator we seek the sufficient conditions to justify the existence of solutions for the aforementioned system in the Banach sequence space lp

  • 2.
    Pourhadi, Ehsan
    et al.
    Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA). Iran University of Science and Technology, Iran.
    Khrennikov, Andrei
    Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA).
    On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over p-adic field2018Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications, ISSN 2070-0466, E-ISSN 2070-0474, Vol. 10, nr 4, s. 322-343Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    Throughout this paper, using the p-adic wavelet basis together with the help of separation of variables and the Adomian decomposition method (as a scheme in numerical analysis) we initially investigate the solution of Cauchy problem for two classes of the first and second order of pseudo-differential equations involving the pseudo-differential operators such as Taibleson fractional operator in the setting of p-adic field.

  • 3.
    Pourhadi, Ehsan
    et al.
    Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA). Iran University of Science and Technology, Iran.
    Saadati, Reza
    Iran University of Science and Technology, Iran.
    Ntouyas, Sotiris K.
    University of Ioannina, Greece;King Abdulaziz University, Saudi Arabia.
    Application of Fixed-Point Theory for a Nonlinear Fractional Three-Point Boundary-Value Problem2019Ingår i: Mathematics, E-ISSN 2227-7390, Vol. 7, nr 6, s. 1-11, artikel-id 526Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    Throughout this paper, via the Schauder fixed-point theorem, a generalization of Krasnoselskii’s fixed-point theorem in a cone, as well as some inequalities relevant to Green’s function, we study the existence of positive solutions of a nonlinear, fractional three-point boundary-value problem with a term of the first order derivative [...]

  • 4.
    Saadati, R.
    et al.
    Iran Univ Sci & Technol, Iran.
    Pourhadi, Ehsan
    Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA). Iran Univ Sci & Technol, Iran.
    Samet, B.
    King Saud Univ, Saudi Arabia.
    On the PC-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness2019Ingår i: Boundary Value Problems, ISSN 1687-2762, E-ISSN 1687-2770, s. 1-23, artikel-id 19Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    In this paper, we deal with the existence results for mild solutions of abstract fractional evolution equations with non-instantaneous impulses on an unbounded interval. We also establish the existence of S-asymptotically -periodic mild solutions. The applied techniques are supported by the concept of measure of noncompactness in conjunction with the well-known Darbo-Sadovskii and Tichonov fixed-point theorems. Furthermore, an example to the fractional initial/boundary value Cauchy problem is concerned to illustrate our main results.

  • 5.
    Saadati, Reza
    et al.
    Iran University of Science and Technology, Iran.
    Pourhadi, Ehsan
    Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA). Iran University of Science and Technology, Iran.
    Mursaleen, Mohamad
    Aligarh Muslim University, India.
    Solvability of infinite systems of third-order differential equations in c0 by Meir-Keeler condensing operators2019Ingår i: Journal of Fixed Point Theory and Applications, ISSN 1661-7738, E-ISSN 1661-7746, Vol. 21, nr 2, s. 1-16, artikel-id 64Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    Throughout this work, using the technique of measure of noncompactness together with Meir–Keeler condensing operators, we study the solvability of the following infinite system of third-order differential equations in the Banach sequence space c0 as a closed subspace of ℓ∞ :u′′′i+au′′i+bu′i+cui=fi(t,u1(t),u2(t),...)where fi∈C(R×R,R) is ω -periodic with respect to the first coordinate and a,b,c∈R are constant. Our approach depends on the Green's function corresponding to the aforesaid system and deduce some conclusions relevant to the existence of ω -periodic solutions in Banach sequence space c0 . In addition, some examples are supplied to illustrate the usefulness of the outcome.

    Publikationen är tillgänglig i fulltext från 2020-05-04 09:06
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