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We propose a method for determining the solution and source term of a generalized timefractional diffusion equation. The method is based on selecting a bi-orthogonal basis of L space corresponding to a nonself-adjoint boundary value problem. Uniqueness is proven and an existence result is obtained for smooth initial and final conditions. The asymptotic behavior of the generalized Mittag–Leffler...

I generalize the standard notion of the composition g ◦ f of correspondences f : X → Y and g : Y → Z to the case that X and Z are arbitrary varieties but Y is smooth and projective. Using this notion, I give a short self-contained proof of Rost’s “nilpotence theorem” and a generalization of one important result used by Rost in his proof of the nilpotence theorem.

Symmetrizations of tensors by irreducible characters of the symmetric group serve as natural analogues of symmetric and skew-symmetric tensors. The question of when a symmetrized decomposable tensor is non-zero is intimately related to the rank partition of a matroid extracted from the tensor. In this paper we characterize the non-vanishing of the symmetrization of certain partially symmetrized...

The problem of fractional heat conduction in a composite medium consisting of a spherical inclusion ) 0 ( R r   and a matrix ) (    r R being in perfect thermal contact at R r  is considered. The heat conduction in each region is described by the time-fractional heat conduction equation with the Caputo derivative of fractional order 2 0   and , 2 0    respectively. The Laplace trans...

هدف: پژوهش حاضر با هدف تعیین نقش تعاملی خود­شفقت ­ورزی زوجین در تنظیم شناختی هیجان خود و همسر به روش مدل­سازی وابستگی متقابل عامل-شریک انجام شد. روش: از نوع توصیفی_همبستگی مدل­ یابی معادلات ساختاری بود. جامعه آماری شامل کلیه ساکن شهر تهران سال 1399 بود که بین آن‌ها 167 زوج (334 شرکت ­کننده) نمونه­ گیری دردسترس ­عنوان نمونه انتخاب برای گرداوری داده­ ها پرسشنامه راهبردهای تنظیم­ هیجان_فرم کوتاه گ...

We examine critically some of the existing descriptions of the envelope of a 1-parameter family of surfaces in 3-space. An old, natural, description is that the envelope is the union of the characteristic curves (defined as the “limit intersection curves” of surfaces from the family). This description fell in disrepute during the 20th century. We claim that this relegation of the limit intersec...

Because of their similarities, but mainly because of their differences, it is a matter of interest to determine the relationship between the Hardy space H(R) and the space of integrable functions L(R). The purpose of this paper is to address some unanswered questions concerning the family of spaces Xs(R ) that lie between H and L, and thus gain a better understanding of the gap that separates t...